7 Let f(x) = 8x³ + 5. Find the open intervals on which f is increasing (decreasing). Then determine the a-coordinates 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 a = 4. The relative minima of f occur at a = 1.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

7.5

7_Let f(x) = 8x³ + 5. 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 æ =
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".
Transcribed Image Text:7_Let f(x) = 8x³ + 5. 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 æ = 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".
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