Look at picture please! 4. Function f(x) has a derivative f' thatconsists of 3 line segments, a quarter circle, and32a portion of the graph of y =-2The graph of f' is shown at the right. Thefollowing questions are about the graph of f(x)which is NOT SHOWN IN THE PICTURE.Graph of f'a) For what values of x in the open inteval –4 < x < 6 is the graph of f (x) BOTH increasingAND concave up? Explain your reasoning.b) For what values of x in the open inteval –4 < x < 6 does f(x) have a critical point(s)?Classify those critical point(s) as a relative maximum, relative minimum, or neither. Justify youranswer(s).

We are given the graph of f'. a) The graph of fx is increasing when the graph of f'x is positive.…

4. Function f(x) has a derivative f' that consists of 3 line segments, a quarter circle, and 32 a portion of the graph of y = The graph of f' is shown at the right. The following questions are about the graph of f(x) which is NOT SHOWN IN THE PICTURE. 0 e

4. Function f(x) has a derivative f' that consists of 3 line segments, a quarter circle, and 32 a portion of the graph of y = The graph of f' is shown at the right. The following questions are about the graph of f(x) which is NOT SHOWN IN THE PICTURE. 0 e

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Look at picture please!

4. Function f(x) has a derivative f' that
consists of 3 line segments, a quarter circle, and
32
a portion of the graph of y =
-2
The graph of f' is shown at the right. The
following questions are about the graph of f(x)
which is NOT SHOWN IN THE PICTURE.
Graph of f'
a) For what values of x in the open inteval –4 < x < 6 is the graph of f (x) BOTH increasing
AND concave up? Explain your reasoning.
b) For what values of x in the open inteval –4 < x < 6 does f(x) have a critical point(s)?
Classify those critical point(s) as a relative maximum, relative minimum, or neither. Justify your
answer(s).

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