Question

Please Help!!!! Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.

Answer 1

An exponential function follows the form a^x, where a is a constant. Other answers incorrectly say it depend on the exponent but that is no true because this is a constant raised to x NOT x raised to a number.

You ask for rate of change in other words derivative

You may recall that the derivative of a^x is a^x*ln(a).

So there's your answer.