Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?

f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

Implicitly differentiate the left side and take the derivative of the right side

Multiply both sides by 'y' which was defined as 2^x

Plug in x = 2 and x = 3 to see which slope is larger

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