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4 بنا -2 -1 45 3 2 1 -1 -2 -3 A 2 3 -5- The graph above (and below) is the DERIVATIVE graph of a function f f is defined on the domain [-5,5] A. On what interval(s) is the function f increasing? use (,) and U to combine more than one interval B. On what interval(s) is the function f decreasing? use (,) and U to combine more than one interval 4 C. At what input (s) is the function f at a maximum (separated by space or comma) D. At what input (s) is the function f at a minimum (separated by space or comma)

4 بنا -2 -1 45 3 2 1 -1 -2 -3 A 2 3 -5- The graph above (and below) is the DERIVATIVE graph of a function f f is defined on the domain [-5,5] A. On what interval(s) is the function f increasing? use (,) and U to combine more than one interval B. On what interval(s) is the function f decreasing? use (,) and U to combine more than one interval 4 C. At what input (s) is the function f at a maximum (separated by space or comma) D. At what input (s) is the function f at a minimum (separated by space or comma)

Advanced Engineering Mathematics
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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Refer to image of graph and questions below

P B #1 K 1 1 Mester 11 CS Imag A. On what interval(s) is the function of increasing? use () and U to combine more than one interval CA B. On what interval(s) is the function f decreasing? use (,) and U to combine more than one interval 4 The graph above (and below) is the DERIVATIVE graph of a function f f is defined on the domain [-5,5) 5 C. At what input(s) is the function f at a maximum (separated by space or comma) D. At what input (s) is the function / at a minimum (separated by space or comma)
Transcribed Image Text:P B #1 K 1 1 Mester 11 CS Imag A. On what interval(s) is the function of increasing? use () and U to combine more than one interval CA B. On what interval(s) is the function f decreasing? use (,) and U to combine more than one interval 4 The graph above (and below) is the DERIVATIVE graph of a function f f is defined on the domain [-5,5) 5 C. At what input(s) is the function f at a maximum (separated by space or comma) D. At what input (s) is the function / at a minimum (separated by space or comma)
Expert Solution
Step 1

We are given the following graph of f'.

Advanced Math homework question answer, step 1, image 1

We know the following.

f(x) is increasing if derivative f'(x)>0,
f(x) is decreasing if derivative f'(x)<0,
f(x) is constant if derivative f'(x)=0.

For (A),

We can observe that for the intervals (-4,1) and (4, 5) we have f'(x)<0.

So, the function is increasing on (-4,1) U (4, 5).

For (B),

We can observe that for the intervals (-5,-3) and (0,4) we have f'(x)>0.

So, the function is decreasing on (-5,-3) U (0,4).

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