Compare the functions below. f(x) = 3x x f(x) 1 3 2 9 3 27 4 81 5 243 g(x) = 3x + 4 x g(x) 1 7 2 10 3 13 4 16 5 19 which statement is true?

Your full question can be found in the image below

To easily solve this question, we can plot both equations with the help of a graphing calculator or any plotting tool.

First equation

f(x) = 3x

Second equation

g(x) = 3x + 4

Please, see attached graph

A. As x increases, the rate of change of f exceeds the rate of change of g. FALSE

B. At approximately x = 2.13, the rate of change of f is equal to the rate of change of g. FALSE

C. For every value of x, the rate of change of f exceeds the rate of change of g. FALSE

D. As x increases, the rate of change of g exceeds the rate of change of f.

FALSE

All the options are incorrect. The rate of change of both functions (slope) is equal to 3.

g(x) will always have a larger value than f(x)