Question

On a piece of paper, graph f(x) = 5. (0.4)* Then determine which answer

choice matches the graph you drew.

Answer 1

Answer:^^^^^

Explanation:

the awnser above is correct a p e x x

Answer 2

The graph in the attached figure

Explanation:

we have

`f(x)=5(0.4^x)`

This is a exponential function of the form

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

where

a is the initial value or the y-intercept of the exponential function

b is the base

b=(1+r)

r is the percent rate of change

we have

`a=5\\b=0.4`

`r=0.4-1=-0.60=-60\%` ---> is a decay function

To draw the graph on a piece of paper we will plug in the values of x in the function.

so

For x=-1 --->
`f(1)=5(0.4^(-1))=12.5`

For x=0 --->
`f(0)=5(0.4^0)=5`

For x=1 --->
`f(1)=5(0.4^1)=2`

For x=2 --->
`f(2)=5(0.4^2)=0.8`

For x=3 --->
`f(3)=5(0.4^3)=0.32`

we have the points

(-1,12.5),(0,5),(1,2),(2,0.8),(3,0.32)

Plot the points in a coordinate plane to graph the function

using a graphing tool

The graph in the attached figure

Is a decreasing function, because as x increases (reading from left to right), y decreases