Question

PLEASE HELP SOS

What type of exponential function is f(x) = 0.3(2.6)^x?
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.

Answer 1

Part a) Is a growth function

Part b) The function's percent rate of change is 160%

Explanation:

we have

`f(x)=0.3(2.6^x)`

This is a exponential function of the form

`f(x)=a(b^x)`

where

a is the initial value or y-intercept

b is the base of the exponential function

If b> 1---> we have a growth function

if b< 1---> is a decay function

r is the percent rate of change

b=(1+r)

In this problem we have

`a=0.3`

`b=2.6`

The value of b >1

so

Is a growth function

Find the value of r

`r=b-1=2.6-1=1.6`

convert to percentage

`r=1.6*100=160\%`