2. Given the parent function f(x) = Vxand the transformed function g(x) =- 2/x+1+4: 10 -8 4 -8 6 -4 -2 8 10 12 14 16 18 20 -2 a. The graph above shows the parent function and the transformed function. Which colour is the parent function and which is the transformed function? How do you know? b. List the transformations applied to the parent function. Use proper terminology. c. State the domain and range of g(x). Be sure to show/explain how you know the domain and range.
2. Given the parent function f(x) = Vxand the transformed function g(x) =- 2/x+1+4: 10 -8 4 -8 6 -4 -2 8 10 12 14 16 18 20 -2 a. The graph above shows the parent function and the transformed function. Which colour is the parent function and which is the transformed function? How do you know? b. List the transformations applied to the parent function. Use proper terminology. c. State the domain and range of g(x). Be sure to show/explain how you know the domain and range.
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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Transcribed Image Text:2. Given the parent function f(x) = Vx and the transformed function g(x) =- 2/x+1+4:
10
8
-6
8
10
12
16
18
20
a. The graph above shows the parent function and the transformed function. Which colour is the parent
function and which is the transformed function? How do you know?
b. List the transformations applied to the parent function. Use proper terminology.
c. State the domain and range of g(x). Be sure to show/explain how you know the domain and range.
d. Evaluate g(35)
e. Give the mapping rule of g(x)
f. Complete the table using the mapping rule
f(x)
g(x)
1
1
4
2
9
5
25
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