Question Consider a continuous function f(x). The function has critical points at.x = -2, x = 2, and x = 3. The table below shows the open intervals between each of these critical points and the sign of f'(x) on each interval. At what value(s) of x do any local maxima occur? Select all that apply. Interval Sign of f'(x) at Test Point Conclusion (-00, -2) fC) is decreasing (-2, 2) f) is decreasing (2, 3) s) is increasing (3, 00) S(x) is decreasing Select the correct answer below: O x = -2 Ox = 2 O x = 3 O The function does not have a local maximum.
Question Consider a continuous function f(x). The function has critical points at.x = -2, x = 2, and x = 3. The table below shows the open intervals between each of these critical points and the sign of f'(x) on each interval. At what value(s) of x do any local maxima occur? Select all that apply. Interval Sign of f'(x) at Test Point Conclusion (-00, -2) fC) is decreasing (-2, 2) f) is decreasing (2, 3) s) is increasing (3, 00) S(x) is decreasing Select the correct answer below: O x = -2 Ox = 2 O x = 3 O The function does not have a local maximum.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:CURRENT ODJECTIVE
Use the first derivative test to find local extrema of an algebraic function
Question
Consider a continuous function f(x), The function has critical points at x = -2, x = 2, and x = 3, The table below shows
the open intervals between each of these critical points and the sign of f'(x) on each interval. At what value(s) of x do any
local maxima occur? Select all that apply.
Interval
Sign of f'(x) at Test Point
Conclusion
(-00, -2)
f(x) is decreasing
(-2, 2)
f(x) is decreasing
(2, 3)
f(x) is increasing
(3, 00)
f(x) is decreasing
Select the correct answer below:
O x = -2
O x = 2
O x = 3
O The function does not have a local maximum.
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