=) Let f(x) = x³ - 18x² +81x - 2. Find the open intervals on which f is increasing (decreasing). Then determine the x-coord of all relative maxima (minima).

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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) Let f(x) = x³ - 18x² +81x - 2. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordin
of all relative maxima (minima).
f is increasing on the intervals
2.
f is decreasing on the intervals
3. The relative maxima of f occur at x =
3
4. The relative minima of f occur at x = 9
1.
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4
the word "none".
In the last two, your answer should be a comma separated list of a values or the word "none".
Transcribed Image Text:) Let f(x) = x³ - 18x² +81x - 2. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordin of all relative maxima (minima). f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f occur at x = 3 4. The relative minima of f occur at x = 9 1. Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4 the word "none". In the last two, your answer should be a comma separated list of a values or the word "none".
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