Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x)=(1/e)^x

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

B. The base is x.

C. This is a polynomial.

D. The base is e^−1.

 D) The base is e^(-1)

We use the rule that x^(-k) = 1/(x^k). That allows us to say e^(-1) = 1/(e^1) = 1/e

The 1/e is the base of the exponential (1/e)^x

In general, the exponential b^x has base b.

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