Please write a rational expression (in factored form please) that could produce this graph. Please note that the graph reaches the x axis at -1. Explain your reasoning for each factor your write.
Please write a rational expression (in factored form please) that could produce this graph. Please note that the graph reaches the x axis at -1. Explain your reasoning for each factor your write.
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
Please write a rational expression (in factored form please) that could produce this graph. Please note that the graph reaches the x axis at -1. Explain your reasoning for each factor your write.
Transcribed Image Text:Please write a rational expression (in
factored form please) that could produce
this graph. Please note that the graph
reaches the x axis at -1. Explain your
reasoning for each factor your write.
-10
45
40
35
30
25
20
15
10
5
=5
-10
-15
-20
-25
-30
-35
40
-50
10 12
x
Expert Solution
Step 1
From the above graph, we see that the graph goes to when and the graph goes to when .
So, the function must have the term .
Further, we are given that the graph reaches the x axis at -1.
So, the function must have the term .
Now, notice that the graph decreases linearly for and the graph is increasing linearly for .
So, we must have the term where the value of a is to be found.
Thus, the possible equation of function is .
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