For the function below, determine each of the following. f(x) = 6 x³ + 9x² - 756x (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) X = (b) Find all intervals on which f(x) is increasing and all intervals on which f(x) is decreasing. Enter your answers using interval notation. Increasing: Decreasing: (c) Find the x-coordinates of all relative extrema on the graph of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Relative Maxima: Relative Minima:

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 below, determine each of the following.
f(x) = 6 x³ + 9x² – 756x
(a) Find all critical values of f(x). (Enter your answers as a comma-separated list.)
X =
(b) Find all intervals on which f(x) is increasing and all intervals on which f(x) is decreasing. Enter your answers using interval notation.
Increasing:
Decreasing:
(c) Find the x-coordinates of all relative extrema on the graph of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Relative Maxima:
Relative Minima:
Transcribed Image Text:For the function below, determine each of the following. f(x) = 6 x³ + 9x² – 756x (a) Find all critical values of f(x). (Enter your answers as a comma-separated list.) X = (b) Find all intervals on which f(x) is increasing and all intervals on which f(x) is decreasing. Enter your answers using interval notation. Increasing: Decreasing: (c) Find the x-coordinates of all relative extrema on the graph of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Relative Maxima: Relative Minima:
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