Question

Which is an exponential growth function f(x)=6(0.25)x
f(x)=0.25(5.25)x

Answer 1

The correct answer option is B.
`f ( x ) = 0 . 2 5 ( 5 . 2 5 ) ^ x`.

Explanation:

If the numbers are positive along with the base of the exponent which must be greater than 1, then it an exponential growth function.

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

Here the numbers are positive but the base of the exponent is 0.25 which is less than 1 so it is not an exponential growth function.

2.
`f ( x ) = 0 . 2 5 ( 5 . 2 5 ) ^ x`:

Positive numbers with base of the exponent greater than 1, therefore it is an exponential growth function.

Answer 2

Answer: Second Option

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

Explanation:

The exponential growth functions have the following form:

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

Where a is the main coefficient, b is the base and x is the exponent.

For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

Among the options given, the only function whose base is greater than 1 is the second option:

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