Consider the functions f and g below. f (x) = x+4 g (x) = (5/4) ^x

Based 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).

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Question

Alden Chandler

24 April, 19:14

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Shawn Cannon · Answer 1

The second statement.

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