Question

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

Answer 1

Answer:

The graph in the attached figure

Step-by-step 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