Question

The function f(x) = 5^(x-1) is shown on the coordinate plane.

Select from the options to correctly describe the end behavior of f(x).

As x decreases without bound, the graph of f(x)
•approaches y=0
•increases without bound
•decreases without bound

As x increases without bound, the graph of f(x)
•approaches y=0
•increases without bound
•decreases without bound

Answer 1

as X decreases f of x is asymptotic to the x axis this means f of x is approaching 0 but never gets there.

as X increases f of x approaches infinity or grows without bound

Answer 2

The arrow in each end of the function means continuations. Remember that, decreasing is when x increases while y decreases. And increasing is when x increases while y increases.

Left end:

As x decreases without bound, the graph of f(x) approaches y = 0, because in the graph we can see that there's sort of restriction on x-axis.

Right end:

As x increases without bound, the graph of f(x) increases without bound. Because the graph doesn't show any kind of restriction at the right end.