Consider the following graph of the second derivative, f" (x), for some function f (x): f"(x) 9- 6- 3- -6-4-20 2 3- -N -6- -9- -12- 4 -10 6 X a) Which of the following statements are correct (select all that are)? Of(x) is concave downwards at x = -2. Of(x) is concave downwards at x = 3. b) Which of the following statements are correct (select all that are)? If a local extreme occurs in (-1,1) then it must be a local maximum. If a local extreme occurs in (1,3) then it must be a local maximum.

Consider the following graph of the second derivative, f" (x), for some function f (x): f"(x) 9- 6- 3- -6-4-20 2 3- -N -6- -9- -12- 4 -10 6 X a) Which of the following statements are correct (select all that are)? Of(x) is concave downwards at x = -2. Of(x) is concave downwards at x = 3. b) Which of the following statements are correct (select all that are)? If a local extreme occurs in (-1,1) then it must be a local maximum. If a local extreme occurs in (1,3) then it must be a local maximum.

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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