Question

Which is an exponential growth function?

f(x) = 6(0.25)x
f(x) = 0.25(5.25)x
f(x) = –4.25x
f(x) = (–1.25)x\

Answer 1

It should be B i think, but not exactly sure.

Answer 2

Option 2 -
`f(x)=0.25(5.25)^x`

Explanation:

To find : Which is an exponential growth function?

Solution :

Exponential growth function is defined as
`y=ab^x`

Where b=1+r is the growth rate function or b>1.

Now we compare all the given functions,

1)
`f(x)=6(0.25)^x`

Here, b<1 so it a exponential decay function.

2)
`f(x)=0.25(5.25)^x`

Here, b>1 so it a exponential growth function.

3)
`f(x)=-4.25x`

It is a linear function.

4)
`f(x)=(-1.25)^x`

Here, b<1 so it a exponential decay function.

Therefore, Option 2 is correct.