Question

On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits the plane at (negative 2, negative 6) and (2, 6).

Which statement is true about the end behavior of the graphed function?

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

Answer 1

Answer: D) as x → ∞, y → ∞

Explanation:

see graph

Notice that as x approaches negative infinity (goes to the left), the y-value decreases (goes toward negative infinity).

And as x approaches positive infinity (goes to the right), the y-value increases (goes toward positive infinity).