a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. x² - f(x) = 3 x#2 %3D X-2

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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x?(x- 3)
Answer the following questions about the function whose derivative is f'(x) =
x#-5.
x+5
a. What are the critical points of f?
b. On what open intervals is f increasing or decreasing?
c. At what points, if any, does f assume local maximum or minimum values?
Transcribed Image Text:x?(x- 3) Answer the following questions about the function whose derivative is f'(x) = x#-5. x+5 a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum or minimum values?
a. Find the open intervals on which the function is increasing and those on which it is decreasing.
b. Identify the function's local extreme values, if any, saying where they occur.
x2 - 3
f(x) =
x#2
%3D
X-2
Transcribed Image Text:a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. x2 - 3 f(x) = x#2 %3D X-2
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