# How do you find the end behavior of #f(x)= 4x - x^(2)#?

f(x) is a quadratic polynomial or simply a parabola

Since the coefficient on

The end behavior will have both ends of the parabola shooting downward toward negative

hope that helped

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To find the end behavior of ( f(x) = 4x - x^2 ), you examine the leading term of the polynomial function, which is ( -x^2 ). Since the degree of the leading term is even and the leading coefficient is negative, the end behavior is as follows:

- As ( x ) approaches positive infinity (( +\infty )), ( f(x) ) approaches negative infinity (( -\infty )).
- As ( x ) approaches negative infinity (( -\infty )), ( f(x) ) also approaches negative infinity (( -\infty )).

So, the end behavior of ( f(x) = 4x - x^2 ) is that it approaches negative infinity on both ends of the graph.

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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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