4. The graph of the first derivative of a function ƒ is given below. yA y= f'(x) 3 5 7 (a) On what intervals is ƒ increasing? Explain. (b) At what values of x does ƒ have a local maximum or minimum? Explain. (c) On what intervals is the graph of f concave upward and on what intervals is it concave downward? Explain. (d) What are the x-coordinates of the inflection points of f? Why?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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4. The graph of the first derivative of a function f is given below.
YA
y= f'(x)
1
3
7
(a) On what intervals is f increasing? Explain.
(b) At what values of x does f have a local maximum or minimum? Explain.
(c) On what intervals is the graph of f concave upward and on what intervals is it
concave downward? Explain.
(d) What are the x-coordinates of the inflection points of f? Why?
Transcribed Image Text:4. The graph of the first derivative of a function f is given below. YA y= f'(x) 1 3 7 (a) On what intervals is f increasing? Explain. (b) At what values of x does f have a local maximum or minimum? Explain. (c) On what intervals is the graph of f concave upward and on what intervals is it concave downward? Explain. (d) What are the x-coordinates of the inflection points of f? Why?
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