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Based on the graph of the functions, which of the following statements is true?

A.
f(x) eventually exceeds g(x) because f(x) is increasing linearly
B.
At x = 13, the value of f(x) is more than the value of g(x).
C.
g(x) eventually exceeds f(x) because g(x) is increasing exponentially
D.
Over the interval [3, 5], the average rate of change of g is greater than the average rate of change of f.

Based on the graph of the functions, which of the following statements is true? A. f(x) eventually exceeds g(x) because f(x) is increasing linearly B. At x = 13 class=

Answer :

sqdancefan

Answer:

  C.  g(x) eventually exceeds f(x) because g(x) is increasing exponentially

Step-by-step explanation:

Comments on the other choices:

  A -- an exponential function eventually exceeds any polynomial function. (A linear function is a polynomial of degree 1.)

  B -- at x=13, f(x) = 17; g(x) ≈ 18.2, so g(x) is more

  D -- over the given interval, the average rate of change of g(x) is about 1/2 (1 unit rise for 2 units run) compared to the slope of 1 that f(x) has.

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