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Let f(x) = 6x² - 8x4. 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 f is decreasing on the intervals 3. The relative maxima of f occur at x = 4. The relative minima of f occur at x = 1. 2. 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 a values or the word "none". Note: You can earn partial credit on this problem.

Let f(x) = 6x² - 8x4. 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 f is decreasing on the intervals 3. The relative maxima of f occur at x = 4. The relative minima of f occur at x = 1. 2. 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 a values or the word "none". Note: You can earn partial credit on this problem.

College Algebra (MindTap Course List)
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 99E: 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) = 6x² - 8x4. 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 f is decreasing on the intervals 3. The relative maxima of f occur at x = 4. The relative minima of f occur at x = 1. 2. 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 a values or the word "none". Note: You can earn partial credit on this problem.
Transcribed Image Text:Let f(x) = 6x² - 8x4. 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 f is decreasing on the intervals 3. The relative maxima of f occur at x = 4. The relative minima of f occur at x = 1. 2. 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 a values or the word "none". Note: You can earn partial credit on this problem.
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