2. Given the graph shown below: Note: the equation of the vertical asymptote for the orange graph is x = - 2 13. 42 11 10 -9 -8 -7 -6 -5 --4 -3 -1 5 6 7 Tret 8 9 10 11 12 a. Determine for what values of x does the orange graph meet the blue graph b. Suppose the orange graph is y = f(x) and the blue graph is y = g(x). Determine what intervals of x is f(x) > g(x). 13 c. Verify your answer to question 2b by solving algebraically a rational inequality, ie solve the inequality ƒ(x) > g(x). Note: the orange graph is rational and the blue graph is linear.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Given the graph shown below:
Note: the equation of the vertical asymptote for the orange graph is x =
- 2
-19 12 11
10
-8 -7 -6 -5 -4 -3 -2
-1
2
-2
-4
-5
5
6
7
Text
8
9
10 11 12 13
a. Determine for what values of x does the orange graph meet the blue graph
b. Suppose the orange graph is y = f(x) and the blue graph is y = g(x).
Determine what intervals of x is f(x) > g(x).
14
c. Verify your answer to question 2b by solving algebraically a rational inequality,
ie solve the inequality f(x) > g(x). Note: the orange graph is rational and the
blue graph is linear.
Transcribed Image Text:2. Given the graph shown below: Note: the equation of the vertical asymptote for the orange graph is x = - 2 -19 12 11 10 -8 -7 -6 -5 -4 -3 -2 -1 2 -2 -4 -5 5 6 7 Text 8 9 10 11 12 13 a. Determine for what values of x does the orange graph meet the blue graph b. Suppose the orange graph is y = f(x) and the blue graph is y = g(x). Determine what intervals of x is f(x) > g(x). 14 c. Verify your answer to question 2b by solving algebraically a rational inequality, ie solve the inequality f(x) > g(x). Note: the orange graph is rational and the blue graph is linear.
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