Question

PLEASE HELP!!on a piece of paper graph f(x)=2•(3)^x.Then determine which answer choice matches the graph you drew.

Answer 1

Answer:

Graph B

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=2(3)^{x}$

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

a=2 ----> the y-intercept

b=3

so

1+r=3 -----> r=3-1=2 -----> r=200%

so

The y-intercept of the graph is equal to 2

As x increases the value of f(x) increases

therefore

Graph B