Question

Which function equation is represented by the

graph?
f(x) = 20(1.5)^x
f(x) = 20(1.4)^x
f(x) = 20(2.5)^x
f(x) = 20(2.25)^x ​
please hurry in a test

Answer 1

f(x)=20(2.5)x

Explanation:

did the test and was correct

Answer 2

`f(x)=20(2.5^x)`

Explanation:

we know that

The function of the graph is a exponential function of the form

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

Looking at the graph

we have the points

(0,20) and (1,50)

Remember that if a point lie on the graph, then the point must satisfy the function

Verify each case

For x=1, f(x)=50

case 1) we have

`f(x)=20(1.5^x)`

For x=1

`f(1)=20(1.5^1)=30`

so

`30\\eq 50`

therefore

This function is not represented by the graph

case 2) we have

`f(x)=20(1.4^x)`

For x=1

`f(1)=20(1.4^1)=28`

so

`28\\eq 50`

therefore

This function is not represented by the graph

case 3) we have

`f(x)=20(2.5^x)`

For x=1

`f(1)=20(2.5^1)=50`

`50=50`

For x=0

`f(0)=20(2.5^0)=20`

`20=20`

therefore

This function is represented by the graph

case 4) we have

`f(x)=20(2.25^x)`

For x=1

`f(1)=20(2.25^1)=45`

so

`45\\eq 50`

therefore

This function is not represented by the graph