(a) On what intervals is f increasing? (Enter your answer using interval notation.) (b) On what intervals is f decreasing? (Enter your answer using interval notation.) (c) At what value(s) of x does f have a local minimum ? (Enter your answers as a comma-separated list.) (d) On what interval(s) is f concave downward? (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Q6: Please answer all the parts to this question, and show all work clearly with legible hand writing please

 

The graph of the derivative f' of a function f is shown.
y = f'(x)
LA
2
4
6
x
(a) On what intervals is f increasing? (Enter your answer using interval notation.)
(b) On what intervals is f decreasing? (Enter your answer using interval notation.)
(c) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
(d) On what interval(s) is f concave downward? (Enter your answer using interval notation.)
Transcribed Image Text:The graph of the derivative f' of a function f is shown. y = f'(x) LA 2 4 6 x (a) On what intervals is f increasing? (Enter your answer using interval notation.) (b) On what intervals is f decreasing? (Enter your answer using interval notation.) (c) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) (d) On what interval(s) is f concave downward? (Enter your answer using interval notation.)
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