# How do you find the end behavior of #y = -x^4+3x^3-3x^2+6x+8#?

The end behavior of a function is the behavior of the function as x approaches positive infinity or negative infinity.

So we have to do these two limits:

and

Than:

and

By signing up, you agree to our Terms of Service and Privacy Policy

To find the end behavior of the polynomial function (y = -x^4 + 3x^3 - 3x^2 + 6x + 8), we examine the leading term as (x) approaches positive and negative infinity.

The leading term of the polynomial is ( -x^4 ). As (x) approaches positive infinity, the term (x^4) becomes very large, and since it's multiplied by -1, (y) approaches negative infinity.

Similarly, as (x) approaches negative infinity, (x^4) still becomes very large, but since it's multiplied by -1, (y) approaches negative infinity.

Therefore, the end behavior of the function is that as (x) approaches positive or negative infinity, (y) approaches negative infinity.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)= 1/(x-2)#?
- How do you find the horizontal asymptote for #y = (x + 1)/(x - 1)#?
- How do you determine if #F(x)=x^3-x # is an even or odd function?
- How do you find the vertical, horizontal and slant asymptotes of: #f(x)=sinx/(x(x^2-81))#?
- How do I find the vertical asymptotes of #f(x) = tanπx#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7