f(x) = x³ − 15x² +27x2. F

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
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let ƒ(x) = x³ – 15x² + 27x − 2. Find the open intervals on which f is
increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).
f is increasing on the intervals (1,9)
2.
f is decreasing on the intervals
3. The relative maxima of f occur at x =
1
4. The relative minima of f occur at x =
1.
-INF
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), or the word "none".
In the last two, your answer should be a comma separated list of x values or the word
"none".
Transcribed Image Text:Let ƒ(x) = x³ – 15x² + 27x − 2. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). f is increasing on the intervals (1,9) 2. f is decreasing on the intervals 3. The relative maxima of f occur at x = 1 4. The relative minima of f occur at x = 1. -INF 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), or the word "none". In the last two, your answer should be a comma separated list of x values or the word "none".
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