Let f(x) = 8/x – 4x for x > 0. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals The relative 3. maxima of f occur at x = The relative 4. minima of f occur at x = 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".

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 f(x) = 8/x – 4x for x > 0. Find the open
intervals on which f is increasing (decreasing). Then
determine the x-coordinates of all relative maxima
(minima).
1. f is increasing
on the intervals
2. f is decreasing
on the intervals
The relative
3.
maxima of f
occur at x =
The relative
4.
minima of f
occur at x =
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 f(x) = 8/x – 4x for x > 0. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals The relative 3. maxima of f occur at x = The relative 4. minima of f occur at x = 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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