Suppose the derivative of the function y = f(x) is y' = (x- 4) (x- 3). At what points, if any, does the graph of f have a local minimum, local maximum, or point of nflection? (Hint: Draw the sign pattern for y'.) ni WIiai pUIILa, I any, uucs uIt yıapii vI I 1nave a iuLai mun1:

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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Suppose the derivative of the function y= f(x) is y' = (x- 4) (x-3). At what points, if any, does the graph of f have a local minimum, local maximum, or point of
nflection? (Hint Draw the sign pattern for y.)
A. The graph has a local minimum at x = (4,0)
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Transcribed Image Text:Suppose the derivative of the function y= f(x) is y' = (x- 4) (x-3). At what points, if any, does the graph of f have a local minimum, local maximum, or point of nflection? (Hint Draw the sign pattern for y.) A. The graph has a local minimum at x = (4,0) (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
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