Question

Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 2^2x

a) This is not an exponential function because the variable is in the exponent position.
b) The base is x.
c) The base is 2.
d) This is a polynomial function.

Answer 1

a) This is not an exponential function because the variable is in the exponent position.

c) The base is 4 not 2.

Explanation:

The given function is
`f(x) = (2)^(2x) = 4^(x)` ........... (1)

a) This is not an exponential function because the variable is in the exponent position.

c) The base is 4 not 2.

The general form of an exponential function is given by
`f(x) = A(B)^(x)`, where A is the initial value of the function and B is the base. (Answer)