Select the correct answer. Compare the two functions.
-
Which statement is true?
A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At x = 2, the rate of change of g(x) is equal to the rate of change of f(x).
D. On every interval of x, the rate of change of f(x) exceeds the rate of change of g(x).

Question

simonefloyt simonefloyt

01-08-2020
Mathematics

contestada

Select the correct answer. Compare the two functions.
-
Which statement is true?
A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At x = 2, the rate of change of g(x) is equal to the rate of change of f(x).
D. On every interval of x, the rate of change of f(x) exceeds the rate of change of g(x).

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jimthompson5910 jimthompson5910 · Answer 1 · 2020-08-01T07:57:20+02:00

Answer: Choice A) as x increases, the rate of change of f(x) exceeds the rate of change of g(x)

In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.

Choice B is false as it contradicts choice A.

Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change

Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.

hstaten7447 hstaten7447 · Answer 2 · 2021-05-12T13:41:14+02:00

hstaten7447 hstaten7447

12-05-2021

Answer:

A

Step-by-step explanation:

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