QuestionFind the growth factor of the function $f(x)=\frac{1}{5}\left(15^{x}\right)$ . Options: $\frac{1}{5}$ , $\frac{1}{3}$ , 5, 15.

Studdy Solution

STEP 1

Assumptions1. The given function is $f(x)=\frac{1}{5}\left(15^{x}\right)$ . The growth factor of an exponential function is the base of the exponent

STEP 2

The general form of an exponential function is $f(x) = ab^{x}$ , where $a$ is the initial value and $b$ is the growth factor.

STEP 3

In our given function $f(x)=\frac{1}{5}\left(15^{x}\right)$ , we can see that $a=\frac{1}{5}$ and $b=15$ .

STEP 4

Therefore, the growth factor of the function is the base of the exponent, which is15.
So, the growth factor of the function is15.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms