2) (4, 3.5) (-2, 2.5) (3) (1) 10 12 State whether each branch is either increasing, decreasing, or constant. Branch 1 Branch 2 Branch 3 #11 # 12 # 13 State the interval for the branch that is increasing, decreasing, and constant. You can use either algebraic or interval notation. Increasing Decreasing Constant #14 #15 #16
2) (4, 3.5) (-2, 2.5) (3) (1) 10 12 State whether each branch is either increasing, decreasing, or constant. Branch 1 Branch 2 Branch 3 #11 # 12 # 13 State the interval for the branch that is increasing, decreasing, and constant. You can use either algebraic or interval notation. Increasing Decreasing Constant #14 #15 #16
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
Transcribed Image Text:2)
(4, 3.5)
(-2, 2.5)
(1)
-2
10
12
State whether each branch is either increasing, decreasing, or constant.
Branch 1
Branch 2
Branch 3
#11
#12
#13
State the interval for the branch that is increasing, decreasing, and constant. You can use either
algebraic or interval notation.
Increasing
Decreasing
Constant
#14
#15
#16
Expert Solution
Step 1
Given a graph with three branches,
(a)
To determine the whether the branch is increasing, decreasing or constant.
Case 1: Branch 1
As x increases, y values gradually decreases.
So branch 1 is decreasing.
Case 2: Branch 2
As x increases, y values gradually increases.
So branch 2 is increasing.
Case 3: Branch 3
As x increases, y values gradually decreases.
So branch 3 is decreasing.
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