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

Respuesta :

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

an exponential function is y=2^x

Answer:

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

Step-by-step explanation:

Given : Function [tex]y=x^2[/tex]

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 [tex]f(x)=ab^x[/tex]

where, [tex]a\neq 0[/tex] is the initial value and b is the base which is positive number other than 1.

Now, We have given [tex]y=x^2[/tex]

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.