How do you describe the end behavior of #y=(x+1)(x-2)([x^2]-3)#?

Answer 1

See explanation.

[x^2] forms the sequence {n^2), with the limit #oo#, as #xtto +-oo#.
#y = x^2 [x^2] (1+1/x)(1-2/x)(1-3/([x^2])) to oo#, as #x to +-oo#.

Piecewise, the graph is a series of arcs of parabolas, with holes at

ends.

For example,

#y= (x+1)(x-2)(-1), x in [sqrt2, sqrt3)#, giving
#(x-1/2)^2=-(y-9/4)#
The size of a typical parabola, #a = 1/(4( [n^2]-3)) to 0#, as x to oo#.
The center #to (1/2, -oo)#, on the common axis # x = 1/2#.

The arcs drift away from the common axis x = 1/2.

I have done some research for giving details. I would review, and if

necessary, revise my answer, later.

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Answer 2

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TheTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4.To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leadingTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term isTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficientTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained byTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient isTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplyingTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive andTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leadingTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degreeTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms ofTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of eachTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomialTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factorTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial isTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. InTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is evenTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In thisTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case,To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the endTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior willTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leadingTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will beTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading termTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term isTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the sameTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is xTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same onTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on bothTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4,To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both endsTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, sinceTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends.To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since itTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As xTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it isTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approachesTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highestTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positiveTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degreeTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive orTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree termTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinityTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term presentTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity,To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the functionTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function willTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increaseTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

TheTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase withoutTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The endTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without boundTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior ofTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound.To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. ThereforeTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the functionTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determinedTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the endTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined byTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behaviorTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading termTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function isTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term.To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is thatTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. SinceTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that itTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it risesTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading termTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without boundTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term isTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound inTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is xTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in bothTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both the positiveTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4,To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both the positive andTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4, theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both the positive and negativeTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4, the end behaviorTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both the positive and negative directionsTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4, the end behavior ofTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both the positive and negative directions.To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4, the end behavior of theTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both the positive and negative directions.To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4, the end behavior of the functionTo describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we examine the leading term, which is x^4. Since the leading coefficient is positive and the degree of the polynomial is even, the end behavior will be the same on both ends. As x approaches positive or negative infinity, the function will increase without bound. Therefore, the end behavior of the function is that it rises without bound in both the positive and negative directions.To describe the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3), we need to examine the leading term of the polynomial. The leading term is obtained by multiplying the leading terms of each factor. In this case, the leading term is x^4, since it is the highest degree term present in the function.

The end behavior of the function is determined by the leading term. Since the leading term is x^4, the end behavior of the function as x approaches positive or negative infinity is the same as that of the function y = x^4.

As x approaches positive infinity, the value of x^4 increases without bound, so the function y = x^4 also increases without bound. Therefore, the end behavior of the function y = (x + 1)(x - 2)(x^2 - 3) as x approaches positive infinity is that it increases without bound.

Similarly, as x approaches negative infinity, the value of x^4 also increases without bound, leading to the function y = (x + 1)(x - 2)(x^2 - 3) decreasing without bound. Therefore, the end behavior of the function as x approaches negative infinity is that it decreases without bound.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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