Question

Which graph represents the function f(x)=2⋅4x ?

Answer 1

The graph in the attached figure

Explanation:

we have

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

This is a exponential function of the form

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

where

a is the initial value

b is the base

r is the rate

b=(1+r)

In this problem we have

`a=2\\b=4\\r=b-1=4-1=3=300\%`

For x=0

`f(0)=2(4^0)` ----->
`f(0)=2` ---> y-intercept or initial value

For x=1

`f(1)=2(4^1)` ----->
`f(1)=8`

Identify the graph

using a graphing tool

The graph in the attached figure