Question

The function ( x ) = 2 ⋅ 4 ^x can be used to represent an exponential growth curve. What is the multiplicative rate of change of the function?
Group of answer choices

2

4

8

32

Answer 1

Answer:

4

Step-by-step explanation:

we have

$f(x)=2(4^x)$

This is a exponential growth function of the form

$f(x)=a(1+r)^x$

where

a is the initial value

(1+r) is the base of the exponential function or multiplicative rate of change of the function

r is the rate of change

In this problem we have

$a=2\\(1+r)=4\\r=4-1=3=300\%$

therefore

4 is the base of the exponential function or multiplicative rate of change of the function