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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Refer to image of graph and questions below
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 .
We know the following.
is increasing if derivative ,
is decreasing if derivative ,
is constant if derivative .
For (A),
We can observe that for the intervals (-4,1) and (4, 5) we have .
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 .
So, the function is decreasing on (-5,-3) U (0,4).
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