Question

The function f(x)=(25)x is shown on the coordinate plane.

Select from the drop-down menus to correctly describe the end behavior of f(x) .

As x decreases without bound, the graph of f(x) .

As x increases without bound, the graph of f(x)

Answer 1

In the right end, as x increases without bound, the graph of f(x) decreases.

In the left end, as x decreases without bound, the graph of f(x) increases.

Explanation:

According to the graph, the end behaviour of the function in the image is decreasing without bound. When we graph a function, with put an arrow to indicate when a function increases or decreases without bound, that's why in this case we can say the decreases without bound, the function extends without limit.

Therefore, as the x increases, f(x) decreases. If you carefully pay attention to the graph, x is constantly increasing in the right end, and f(x) is more and more close to the x-axis.