Question

Which function equation is represented by the

Answer 1

Answer:

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

Step-by-step 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

$30\neq 50$

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

$28\neq 50$

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

$45\neq 50$

therefore

This function is not represented by the graph