Question

Decide if the function is an exponential function. If it is, state the initial value and the base. y=x^2

Answer 1

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

an exponential function is y=2^x

Answer 2

Answer:

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

Step-by-step 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, $a\neq 0$ 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.