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

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To find the end behavior of the polynomial -x^3 + 3x^2 + x - 3:

- Examine the leading term: The leading term is -x^3. Since the degree of the polynomial is odd and the coefficient of the leading term is negative, the end behavior will be as follows:
- As x approaches negative infinity, the function will decrease without bound (tend to negative infinity).
- As x approaches positive infinity, the function will increase without bound (tend to positive infinity).

So, the end behavior of the polynomial -x^3 + 3x^2 + x - 3 is:

- As x approaches negative infinity, the function decreases without bound.
- As x approaches positive infinity, the function increases 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.

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