Q:

Consider the functions f and g below. f(x)=x+4 g(x)=(5/4)^xBased on the graph of the functions, which of the following statements is true? Over the interval [3, 5], the average rate of change of g is greater than the average rate of change of f. g(x) eventually exceeds f(x) because g(x) is increasing exponentially f(x) eventually exceeds g(x) because f(x) is increasing linearly At x = 13, the value of f(x) is more than the value of g(x). NextReset

Accepted Solution

A:
The second statement.

Any increasing exponential function will always eventually be greater than any other non-exponential function.