graph of f" Let f be a function defined on the closed interval -3 sxs4 with f(0) = 3 and f(-1) = 2. The graph of f', the derivative of f, consists of a line segment and a semi circle, as shown above. a). On what interval(s), if any, is f increasing? Justify your answer. b). For what x value does f have a relative minimum? Justify your answer. c). On what interval(s), is any, is f concave down? Justify your answer. d). Find the x coordinate of each point of inflection of the graph of f on the open interval -3 < x < 4. Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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graph of f"
Let f be a function defined on the closed interval -3 sxs4 with f(0) = 3 and f(-1) = 2. The graph of f', the derivative of f, consists of a line segment and a
semi circle, as shown above.
a). On what interval(s), if any, is f increasing? Justify your answer.
b). For what x value does f have a relative minimum? Justify your answer.
c). On what interval(s), is any, is f concave down? Justify your answer.
d). Find the x coordinate of each point of inflection of the graph of f on the open interval -3 < x < 4. Justify your answer.
e). Find the equation of the line tangent to the graph of f at the point (-1, 2)
Transcribed Image Text:graph of f" Let f be a function defined on the closed interval -3 sxs4 with f(0) = 3 and f(-1) = 2. The graph of f', the derivative of f, consists of a line segment and a semi circle, as shown above. a). On what interval(s), if any, is f increasing? Justify your answer. b). For what x value does f have a relative minimum? Justify your answer. c). On what interval(s), is any, is f concave down? Justify your answer. d). Find the x coordinate of each point of inflection of the graph of f on the open interval -3 < x < 4. Justify your answer. e). Find the equation of the line tangent to the graph of f at the point (-1, 2)
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