Question

Which of the following shows the graphic representation of the exponential function f (x) = 3^x

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=3^x$

This is a exponential growth function of the form

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

where

a is the initial value or y-intercept

r is the rate of change

In this problem we have

$a=1$

$1+r=3\\r=2\\r=200\%$

The y-intercept of the graph is (0,1)

Find different values of f(x) for different values of x

For x=1 ----> $f(1)=3^1=3$ -----> point (1,3)

For x=2 ----> $f(2)=3^2=9$ -----> point (2,9)

For x=3 ----> $f(3)=3^3=27$ -----> point (3,27)

Plot the points and join them to graph the function

see the attached figure