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

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

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

Answer

Explanation:

Step1: Recall exponential - function form

The general form of an exponential function is $y = a(b^x)$, where $b$ is the growth factor.

Step2: Identify growth factor

For the function $f(x)=\frac{1}{5}(15^x)$, comparing with $y = a(b^x)$, we have $a=\frac{1}{5}$ and $b = 15$. The growth factor is $15$.

Answer:

D. 15