For the function f(x) = −3x³ +81x + 15, 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).) 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).) Finally, find all critical points in the graph of f(x) critical points: x = (Enter your x-values as a comma-separated list, or none if there are no critical points.)
For the function f(x) = −3x³ +81x + 15, 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).) 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).) Finally, find all critical points in the graph of f(x) critical points: x = (Enter your x-values as a comma-separated list, or none if there are no critical points.)
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
Related questions
Question
![For the function f(x) = −3x³ +81x + 15, 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).)
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).)
Finally, find all critical points in the graph of f(x)
critical points: x =
(Enter your x-values as a comma-separated list, or none
if there are no critical points.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05293abd-d8c1-4894-acc3-41b056a3c602%2F4b5d202f-836c-45f5-8618-3e488fc84a81%2F6t0ou7b_processed.png&w=3840&q=75)
Transcribed Image Text:For the function f(x) = −3x³ +81x + 15, 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).)
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).)
Finally, find all critical points in the graph of f(x)
critical points: x =
(Enter your x-values as a comma-separated list, or none
if there are no critical points.)
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