Question

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

Answer 1

it’s not an exponential function because it is a quadratic function

an exponential function is y=2^x

Answer 2

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

Explanation:

Given : Function
`y=x^2`

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
`f(x)=ab^x`

where,
`a\\eq 0` is the initial value and b is the base which is positive number other than 1.

Now, We have given
`y=x^2`

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.