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College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 77E: Minimizing cost A company that produces and sells digital cameras has determined that the total...
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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x4 - 50x2 + 4
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local maximum and minimum values of f.
local minimum value
local maximum value
(c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.)
(х, у) %3D
- (I
(х, у) %3D
Find the interval on which f is concave up. (Enter your answer using interval notation.)
Find the interval 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) = x4 - 50x2 + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local maximum and minimum values of f. local minimum value local maximum value (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (х, у) %3D - (I (х, у) %3D Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)
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