what points, if any, does the graph of f have a local minimum? A. The graph has a local minimum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The graph has no local minimum. what points, if any, does the graph of f have a local maximum? A. The graph has a local maximum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The graph has no local maximum. what points, if any, does the graph of f have a point of inflection? A. The graph has a point of inflection at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Suppose the derivative of the function y = f(x) is y' = (x- 3) (x- 4). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection? (Hint: Draw
the sign pattern for y'.)
At what points, if any, does the graph of f have a local minimum?
O A. The graph has a local minimum at x=|
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. The graph has no local minimum.
At what points, if any, does the graph of f have a local maximum?
O A. The araph has a local maximum at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. The graph has no local maximum.
At what points, if any, does the graph of f have a point of inflection?
O A. The graph has a point of inflection at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. The graph has no point of inflection.
Transcribed Image Text:Suppose the derivative of the function y = f(x) is y' = (x- 3) (x- 4). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection? (Hint: Draw the sign pattern for y'.) At what points, if any, does the graph of f have a local minimum? O A. The graph has a local minimum at x=| (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The graph has no local minimum. At what points, if any, does the graph of f have a local maximum? O A. The araph has a local maximum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The graph has no local maximum. At what points, if any, does the graph of f have a point of inflection? O A. The graph has a point of inflection at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The graph has no point of inflection.
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