The graph of a derivative f' is shown to the right. Use the information in the graph to determine where f is increasing or decreasing and the x-values of any extrema. Then sketch a possible graph of f. Where is the function increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) O A. The function f is increasing on and decreasing on O B. The function f is decreasing on and never increasing OC. The function f is increasing on and never decreasing What is/are the x-value(s) of the relative maximum/maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The relative maximum/maxima occur(s) at x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There are no relative maxima. What is/are the x-value(s) of the relative minimum/minima? Select the correct choice below and, if necessary, fill in the answer box complete your choice. O A. The relative minimum/minima occur(s) at x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There are no relative minima. Sketch a possible graph of f. Choose the correct graph below.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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...
Question
10.
The graph of a derivative f' is shown to the right. Use the information in the graph to determine where f is increasing or decreasing and the x-values of any extrema. Then sketch a possible graph of f.
Where is the function increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
O A. The function f is increasing on
and decreasing on
O B. The function f is decreasing on
and never increasing.
O C. The function f is increasing on
and never decreasing
What is/are the x-value(s) of the relative maximum/maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The relative maximum/maxima occur(s) at x =
(Simplify your answer. Use a comma to separate answers as needed.)
O B. There are no relative maxima.
What is/are the x-value(s) of the relative minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The relative minimum/minima occur(s) at x =
(Simplify your answer. Use a comma to separate answers as needed.)
O B. There are no relative minima.
Sketch a possible graph of f. Choose the correct graph below.
O A
OB.
Oc.
OD.
Transcribed Image Text:10. The graph of a derivative f' is shown to the right. Use the information in the graph to determine where f is increasing or decreasing and the x-values of any extrema. Then sketch a possible graph of f. Where is the function increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) O A. The function f is increasing on and decreasing on O B. The function f is decreasing on and never increasing. O C. The function f is increasing on and never decreasing What is/are the x-value(s) of the relative maximum/maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The relative maximum/maxima occur(s) at x = (Simplify your answer. Use a comma to separate answers as needed.) O B. There are no relative maxima. What is/are the x-value(s) of the relative minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The relative minimum/minima occur(s) at x = (Simplify your answer. Use a comma to separate answers as needed.) O B. There are no relative minima. Sketch a possible graph of f. Choose the correct graph below. O A OB. Oc. OD.
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