Identify the type of function represented by f(x)=3/8(4)^x a. exponential growth b. quadratic c. linear d. exponential decay

In Apex its A. Exponetial Growth

Option A - Exponential Growth

Step-by-step explanation:

Given :

To find : Identify the type of function given ?

Solution :    

The given function is in the form  

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,  

The initial value is  

and the growth/decay rate factor  

Since b>1 then it is a growth factor.

Refer the attached figure below.

Therefore, Option A is correct.

The function   is an exponential growth function.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5