Question

consider the exponential function $f(x) = \frac{1}{5}(15^x)$. what is the value of the growth factor of the function? \\(\frac{1}{5}\\) \\(\frac{1}{3}\\) 15 5

Explanation:

Step1: Recall exponential function form

The standard form of an exponential function is $f(x) = a(b^x)$, where $a$ is the initial value and $b$ (where $b>1$) is the growth factor.

Step2: Match given function to standard form

The given function is $f(x) = \frac{1}{5}(15^x)$. Comparing to $f(x)=a(b^x)$, we identify $b=15$.

Answer:

15