Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c) constant. -4 -3 -2 -1 7 a m 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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O The function is always increasing.
Increasing interval:
Part 2 of 3
O The function is never decreasing.
O The function is sometimes decreasing.
Decreasing interval:
O The function is always decreasing.
Decreasing interval:
Part 3 of 3
O The function is never constant.
O The function is sometimes constant.
Constant interval:
0
O The function is always constant.
Constant interval:
Continue
(0,0) 8
OUD
(0,0)
DU
X
X
8
3
S
-8
-8
ASUS
O2023 McC
Transcribed Image Text:O The function is always increasing. Increasing interval: Part 2 of 3 O The function is never decreasing. O The function is sometimes decreasing. Decreasing interval: O The function is always decreasing. Decreasing interval: Part 3 of 3 O The function is never constant. O The function is sometimes constant. Constant interval: 0 O The function is always constant. Constant interval: Continue (0,0) 8 OUD (0,0) DU X X 8 3 S -8 -8 ASUS O2023 McC
Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c) constant.
Part 1 of 3
-4 -3 -2 -1
The function is never increasing.
O The function is sometimes increasing.
Increasing interval:
ESC
Part 2 of 3
Continue
A
O The function is always increasing.
Increasing interval:
14
F1
4
2
F2
F3
F4
(0,0) 8
OUD
F5
X
F6
3
-8
ASUS
F7
FB
F9
9
© 2023 McGraw Hill LLC. All Righ
F10
F11
F12
Transcribed Image Text:Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c) constant. Part 1 of 3 -4 -3 -2 -1 The function is never increasing. O The function is sometimes increasing. Increasing interval: ESC Part 2 of 3 Continue A O The function is always increasing. Increasing interval: 14 F1 4 2 F2 F3 F4 (0,0) 8 OUD F5 X F6 3 -8 ASUS F7 FB F9 9 © 2023 McGraw Hill LLC. All Righ F10 F11 F12
Expert Solution
Step 1

Part-1

Increasing :

a function is said to be increasing when it slants upward in the graph while moving to get the right. 

from the graph we can say that function is upward from x=-3 to x=-2

The function appears to be increasing in the interval (-3, -2). 

Therefore, 

The function is sometimes increasing. Increasing interval (-3, -2). 

 

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