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:

The graph in the attached figure

Step-by-step 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

Answer 2

Answer:^^^^^

Step-by-step explanation:

the awnser above is correct a p e x x