Critical points of f(x) are (If there is more than one critical point, enter a comma-separated list. If there are no critical points, "none".) f(x) is increasing on f(x) is decreasing on (Enter your answers using interval notation.) f(x) has local maxima at f(x) has local minima at (If there is more than one extremum of a given tyne enter a coomma-senarated list If there are no

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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The derivative of ?(?) is given by ?′(?)=(3−?)(?+4)/(?−4)(?+3). Find the critical points and local extrema of ?, and the open intervals on which ? is increasing and decreasing. (Assume that ?(?) and ?′(?) have the same domain.)

Critical points of f(x) are
(If there is more than one critical point, enter a comma-separated list. If there are no critical points, enter
"none".)
f(x) is increasing on
f(x) is decreasing on
(Enter your answers using interval notation.)
f(x) has local maxima at
f(x) has local minima at
(If there is more than one extremum of a given type, enter a comma-separated list. If there are no
extrema of a given type, enter "none".)
Transcribed Image Text:Critical points of f(x) are (If there is more than one critical point, enter a comma-separated list. If there are no critical points, enter "none".) f(x) is increasing on f(x) is decreasing on (Enter your answers using interval notation.) f(x) has local maxima at f(x) has local minima at (If there is more than one extremum of a given type, enter a comma-separated list. If there are no extrema of a given type, enter "none".)
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