Question

The function f(x)=5^(x−1) 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)


A. approaches y = 0

B. increases without bound

C. decreases without bound


As x increases without bound, the graph of

f(x)


A. approaches y = 0

B. increases without bound

C. decreases without bound

Answer 1

Just from the figure,

As x decreases, y approaches 0

As x increases, y increases without bound

Answer 2

Answer:

The answer is:

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

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

Step-by-step explanation:

When x goes -∞;

$\lim_{x \to -\infty} f(x) =5^{x-1}=0$

When x goes to ∞;

$\lim_{x \to \infty} f(x)=5^{x-1}= \infty$

Therefore the solution is;

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

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