Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x²-x -x-In(x) (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum value of f. local minimum value local maximum value (c) Find the inflection point. (x, y) = Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x)=x²-x
-x-In(x)
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum value of f.
local minimum value
local maximum value
(c) Find the inflection point.
(x, y) =
Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)
Find the interval(s) on which f is concave down. (Enter your answer using interval notation.)
Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x²-x -x-In(x) (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum value of f. local minimum value local maximum value (c) Find the inflection point. (x, y) = Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.)
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