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raph of the derivative of a continuous function fis shown below. (Assume the function is defined only for 0

raph of the derivative of a continuous function fis shown below. (Assume the function is defined only for 0

Calculus: Early Transcendentals
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...
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2.8 Q3

The graph of the derivative f' of a continuous function is shown below. (Assume the function is defined only for 0<x<9.) (a) on what intervals is f increasing? (Select all that apply.) (0, 2) (0, 3) 00 (0,6) (2.4) (3,6) (4,6) (6,8) (6,9) □ (8,9) on what interval(s) is decreasing? (Select all that apply.) (0,2) (0,3) (0.6) (2,4) (3,6) (4,6) (6.) (6,9) (8,9) none of these none of these (b) At what value(s) of x does f have a local maximum? (Select all that apply.) 01 y=fix 07 000 1 At what value(s) of x does f have a local minimum? (Select all that apply.) 01 8 none of these 8 none of these (c) on what interval(s) is f concave upward? (Select all that apply.) □ (0, 2) □ (0, 3) □ (0,6) On what interval(s) is f concave downward? (Select all that apply.) □ (0,4) □ (0, 3) □ (0,6) (2,4) (3,6) □ (4, 6) ☐ (6,9) □ (8,9) Onone of these (2,4) (3,6) □ (2,6) □ (6,9) □ (5,9) □ (0,9) Onone of these (d) What are the x-coordinate(s) of the inflection point(s) of /7 (Select all that apply.) 01 02 03 05 6 07 08 none of these (e) Assuming that f(0) = 0, sketch a graph of f.
Transcribed Image Text:The graph of the derivative f' of a continuous function is shown below. (Assume the function is defined only for 0<x<9.) (a) on what intervals is f increasing? (Select all that apply.) (0, 2) (0, 3) 00 (0,6) (2.4) (3,6) (4,6) (6,8) (6,9) □ (8,9) on what interval(s) is decreasing? (Select all that apply.) (0,2) (0,3) (0.6) (2,4) (3,6) (4,6) (6.) (6,9) (8,9) none of these none of these (b) At what value(s) of x does f have a local maximum? (Select all that apply.) 01 y=fix 07 000 1 At what value(s) of x does f have a local minimum? (Select all that apply.) 01 8 none of these 8 none of these (c) on what interval(s) is f concave upward? (Select all that apply.) □ (0, 2) □ (0, 3) □ (0,6) On what interval(s) is f concave downward? (Select all that apply.) □ (0,4) □ (0, 3) □ (0,6) (2,4) (3,6) □ (4, 6) ☐ (6,9) □ (8,9) Onone of these (2,4) (3,6) □ (2,6) □ (6,9) □ (5,9) □ (0,9) Onone of these (d) What are the x-coordinate(s) of the inflection point(s) of /7 (Select all that apply.) 01 02 03 05 6 07 08 none of these (e) Assuming that f(0) = 0, sketch a graph of f.
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