# What is the end behavior of #f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5#?

To find the end behavior you have to consider 2 items.

Because the degree is even the end behaviors could be both ends extending to positive infinity or both ends extending to negative infinity.

If that coefficient is positive then the end behaviors are positive. If the coefficient is negative then the end behaviors are negative.

End behaviors:

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The end behavior of the function $f(x) = 3x^4 - x^3 + 2x^2 + 4x + 5$ is as follows:

As $x$ approaches positive infinity, $f(x)$ also approaches positive infinity. As $x$ approaches negative infinity, $f(x)$ also 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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