# How do you find the end behavior of #x^3 + 3x + 2#?

The end behaviour will be determined by the term of highest degree. In this case we get:

and

and

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To find the end behavior of the polynomial function f(x) = x^3 + 3x + 2, we examine the leading term, which is the term with the highest degree, in this case, x^3.

For polynomials, the end behavior is determined by the leading term. If the leading term is of odd degree and has a positive coefficient, the end behavior will be as follows:

- As x approaches negative infinity, f(x) approaches negative infinity.
- As x approaches positive infinity, f(x) approaches positive infinity.

Therefore, for the function f(x) = x^3 + 3x + 2:

- As x approaches negative infinity, f(x) approaches negative infinity.
- As x approaches positive infinity, f(x) approaches positive infinity.

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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.

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