Which of the statements is true?
A. For every value of x, 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 approximately x = 4.74, the rate of change of g(x) is equal to the rate of change of f(x).
D. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
Answers
A statement that is true include the following: B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
How to determine the average rate of change?In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:
Average rate of change = [f(b) - f(a)]/(b - a)
Next, we would determine the average rate of change of the function f(x) over the interval [0, 1]:
a = 0; f(a) = 1
b = 1; f(b) = 6
By substituting the given parameters into the average rate of change formula, we have the following;
Average rate of change = (6 - 1)/(1 - 0)
Average rate of change = 5/1
Average rate of change = 5
For g(x), we have the following:
Average rate of change = (216 - 0)/(1 - 0)
Average rate of change = 216/1
Average rate of change = 216
Read more on average rate of change here: https://brainly.com/question/26938069
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