The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the functions f and g are shown in the table below. What inference can be made regarding the average rate of change of f over the interval [1, 9] vs. the average value of g over the interval [1, 9? 1 8 6. -8 8. 9. 1 4 2 f

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The functions f and g are continuous and differentiable with f' (x) = g(x).
Selected values of the functions f and g are shown in the table below. What inference
can be made regarding the average rate of change of f over the interval [1,9] vs. the
average value of g over the interval 1, 9?
1
8.
-8
-1
8.
9.
3.
4.
2
The relationship between the average ROC of f
The average ROC of f is equal
to the average value of g on the
and the average value of g on the interval 1, 9
cannot be determined.
interval [1, 9].
The average ROC of f is less
The average ROC of f is greater than the
than the average value of g on
average value of g on the interval 1,9.
the interval [1, 9].
Submit Answer
84
Transcribed Image Text:The functions f and g are continuous and differentiable with f' (x) = g(x). Selected values of the functions f and g are shown in the table below. What inference can be made regarding the average rate of change of f over the interval [1,9] vs. the average value of g over the interval 1, 9? 1 8. -8 -1 8. 9. 3. 4. 2 The relationship between the average ROC of f The average ROC of f is equal to the average value of g on the and the average value of g on the interval 1, 9 cannot be determined. interval [1, 9]. The average ROC of f is less The average ROC of f is greater than the than the average value of g on average value of g on the interval 1,9. the interval [1, 9]. Submit Answer 84
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