Decide if the function is an exponential function. if it is, state the initial value and the base. y=x^2
a.) exponential function
base = 2
initial value = 0
b.) not an exponential function
c.) exponential function
base = x
initial value = 1
d.) exponential function
base = 3x
initial value = 0

Option C - Exponential function, base = x, initial value = 1

Step-by-step explanation:

Given : Function

To find : Decide if the function is an exponential function. If it is, state the initial value and the base.

Solution :

Exponential function:  A function can be written in the form

where, is the initial value and b is the base which is positive number other than 1.

Now, We have given

Yes, this function is an exponential function.

On comparing with general form,

Initial value is a=1 and base is b=x

Therefore, Option C is correct.

d. vertex

step-by-step explanation: