Consider the function f(x) = - 2x° + 39x – 180x + 2. This function has two critical numbers A < B: A = and B = For each of the following intervals, tell whether f'(x) is positive (type in +) or negative (type in -). (-00, A): (A, B): (B, 0): Thus f(x) has a local at A (type in MAX or MIN) and a local at B (type in MAX or MIN).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the function f(x) = - 2x3 + 39x? – 180x + 2. This function has two critical numbers A < B:
A =
and B =
For each of the following intervals, tell whether f'(x) is positive (type in +) or negative (type in -).
(-0, A):
(A, B):
(B, 0):
Thus f(x) has a local
at A (type in MAX or MIN)
and a local
at B (type in MAX or MIN).
Transcribed Image Text:Consider the function f(x) = - 2x3 + 39x? – 180x + 2. This function has two critical numbers A < B: A = and B = For each of the following intervals, tell whether f'(x) is positive (type in +) or negative (type in -). (-0, A): (A, B): (B, 0): Thus f(x) has a local at A (type in MAX or MIN) and a local at B (type in MAX or MIN).
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