Question

Which of the following is an example of an exponential function?

Answer 1

Answer: Choice D $p(\text{x}) = 500(1.02)^{\text{x}}$

Reason:

Exponential functions have the variable in the exponent.

Choice A is a polynomial, which means we can rule it out. Choice B is a log function, so we can rule it out also.

Choice C is a rational function because it is a ratio of two polynomials. This rules out choice C.

Choice D is the only function with the variable in the exponent. That is assuming you meant to say $p(\text{x}) = 500(1.02)^{\text{x}}$ instead of $p(\text{x}) = 500(1.02){\text{x}}$