Question

Identify the type of function represented by f(x)=3/8(4)^x

A. Exponential Growth
B. Quadratic
C.Linear
D.Exponential Decay

Answer 1

In Apex its A. Exponetial Growth

Answer 2

Option A - Exponential Growth

Explanation:

Given :
`f(x)=(3)/(8) (4)^x`

To find : Identify the type of function given ?

Solution :

The given function is in the form
`f(x)=ab^x`

This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.

If we compare the given expression,
`f(x)=(3)/(8) (4)^x`

The initial value is
`a=(3)/(8)`

and the growth/decay rate factor
`b=4`

Since b>1 then it is a growth factor.

Refer the attached figure below.

Therefore, Option A is correct.

The function
`f(x)=(3)/(8) (4)^x` is an exponential growth function.