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2+ 1+ r=2 (6,2) 12 3 A 5 6 7 Graph of f' (7, 1) 3. Let f be a differentiable function with f(4) = 3. On the interval 0 ≤ x ≤ 7, the graph of f', the derivative of f, consists of a semicircle and two line segments, as shown in the figure above. (a) Find f(0) and f(5). (b) Find the x-coordinates of all points of inflection of the graph of f for 0

2+ 1+ r=2 (6,2) 12 3 A 5 6 7 Graph of f' (7, 1) 3. Let f be a differentiable function with f(4) = 3. On the interval 0 ≤ x ≤ 7, the graph of f', the derivative of f, consists of a semicircle and two line segments, as shown in the figure above. (a) Find f(0) and f(5). (b) Find the x-coordinates of all points of inflection of the graph of f 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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how would you do part A of this FRQ? This is a non-graded FRQ. Please try to show step-by-step work. thank you!
2- 1- -2+ r=2 1 2 3 5 Graph of f' (6, 2) 6 7 (7, 1) 3. Let f be a differentiable function with f(4) = 3. On the interval 0 ≤ x ≤ 7, the graph of f', the derivative of f, consists of a semicircle and two line segments, as shown in the figure above. (a) Find f(0) and f(5). (b) Find the x-coordinates of all points of inflection of the graph of f for 0 < x < 7. Justify your answer. (c) Let g be the function defined by g(x) = f(x) - x. On what intervals, if any, is g decreasing for 0 ≤x≤7? Show the analysis that leads to your answer. (d) For the function g defined in part (c), find the absolute minimum value on the interval 0 ≤ x ≤ 7. Justify your answer.
Transcribed Image Text:2- 1- -2+ r=2 1 2 3 5 Graph of f' (6, 2) 6 7 (7, 1) 3. Let f be a differentiable function with f(4) = 3. On the interval 0 ≤ x ≤ 7, the graph of f', the derivative of f, consists of a semicircle and two line segments, as shown in the figure above. (a) Find f(0) and f(5). (b) Find the x-coordinates of all points of inflection of the graph of f for 0 < x < 7. Justify your answer. (c) Let g be the function defined by g(x) = f(x) - x. On what intervals, if any, is g decreasing for 0 ≤x≤7? Show the analysis that leads to your answer. (d) For the function g defined in part (c), find the absolute minimum value on the interval 0 ≤ x ≤ 7. Justify your answer.
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