For the function f(x) = -9 + sin(x), find all intervals where the function is increasing. f is increasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10) . Enter none if there are no such intervals.) Similarly, find all intervals where the function is decreasing: f is decreasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10). Enter none if there are no such intervals.) Finally, find all critical points in the graph of f (x) (enter x values as a comma-separated list, or none if there are no critical points):

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 31RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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For the function f(x) :
-9x + sin(x), find all intervals where the function is increasing.
f is increasing on
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10). Enter none
if there are no such intervals.)
Similarly, find all intervals where the function is decreasing:
f is decreasing on
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10). Enter none
if there are no such intervals.)
Finally, find all critical points in the graph of f(x) (enter x values as a comma-separated list, or
none if there are no critical points):
Transcribed Image Text:For the function f(x) : -9x + sin(x), find all intervals where the function is increasing. f is increasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10). Enter none if there are no such intervals.) Similarly, find all intervals where the function is decreasing: f is decreasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10). Enter none if there are no such intervals.) Finally, find all critical points in the graph of f(x) (enter x values as a comma-separated list, or none if there are no critical points):
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