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1. Consider the following function; ƒ (x) = x + x? - 6x A. Find the critical values of "f ". B. Use the "First Derivative Test" to determine on which intervals is "f" increasing or decreasing. C. Use the "First Derivative Test" OR the "Second Derivative Test", to determine at which points (ordered) pairs "f" attains any local maximum and local minimum values? D. At which points (ordered) pairs does "f" attain the absolute maximum and absolute minimum values, if any? E. What are the points of inflection, if any?

1. Consider the following function; ƒ (x) = x + x? - 6x A. Find the critical values of "f ". B. Use the "First Derivative Test" to determine on which intervals is "f" increasing or decreasing. C. Use the "First Derivative Test" OR the "Second Derivative Test", to determine at which points (ordered) pairs "f" attains any local maximum and local minimum values? D. At which points (ordered) pairs does "f" attain the absolute maximum and absolute minimum values, if any? E. What are the points of inflection, if any?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Only need help on part D and E

1. Consider the following function; ƒ (x) = x + x? - 6x A. Find the critical values of "f ". B. Use the "First Derivative Test" to determine on which intervals is "f" increasing or decreasing. C. Use the "First Derivative Test" OR the "Second Derivative Test", to determine at which points (ordered) pairs "f" attains any local maximum and local minimum values? D. At which points (ordered) pairs does "f" attain the absolute maximum and absolute minimum values, if any? E. What are the points of inflection, if any?
Transcribed Image Text:1. Consider the following function; ƒ (x) = x + x? - 6x A. Find the critical values of "f ". B. Use the "First Derivative Test" to determine on which intervals is "f" increasing or decreasing. C. Use the "First Derivative Test" OR the "Second Derivative Test", to determine at which points (ordered) pairs "f" attains any local maximum and local minimum values? D. At which points (ordered) pairs does "f" attain the absolute maximum and absolute minimum values, if any? E. What are the points of inflection, if any?
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