Question

Which statement is true about the end behavior of the

graphed function?

A: As the x-values go to positive infinity, the function's
values go to negative infinity.

B: As the x-values go to zero, the function's values go to
positive infinity

C: As the x-values go to negative infinity, the function's
values are equal to zero.

D: As the x-values go to positive infinity, the function's
values go to positive infinity.

Answer 1

Option A.

Explanation:

Let the given graph represent the function f(x).

From the given that given graph it is clear that the end behavior of the function f(x):

1. As the x-values go to positive infinity, the function's values go to negative infinity.

`\lim\limits_(x\to \infty)f(x)=-\infty`

2. As the x-values go to negative infinity, the function's values go to positive infinity.

`\lim\limits_(x\to -\infty)f(x)=\infty`

Therefore, the correct option is A.