Consider the following. f(x) = -3x² + 36x Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 83E
Question
Consider the following.
f(x) = -3x² + 36x
Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer
does not exist, enter DNE.)
increasing
decreasing
Transcribed Image Text:Consider the following. f(x) = -3x² + 36x Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing
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