7. Explain how the vertical line test proves that a relation is not a function.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.1: Relations And Functions
Problem 75PS
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#7
Name
ënVision Florida
ALGEA
SavvasRealize.com
3-1 Additional Practice
Relations and Functions
What are the domain and the range of each function?
1.
3
8
11
2.
X -3
-1 2
7
y
6
7.
14
y
9
4
-5
-7
1amin- 3,5,るら!
range= 6,7,7,9,14
pa main=-3,-1,2,5,7
Ramge-95,4-5-7
Is each relation a function? If so, state whether it is one-to-one or many-to-one.
3. {(-4, 7), (-3, 5), (1, 4), (3, –8), (5, –11)}
4. {(-4, 8), (–2, 4), (0, 1), (2, 4), (4, 8)}
5.
6.
7. Explain how the vertical line test proves that a relation is not a function.
8. Fiona buys different amounts of gas at $2.25 per gallon. She has a graph that
shows the amount she should pay as a function of the amount of gas she buys.
What constraints are there on the domain of the function?
Transcribed Image Text:Name ënVision Florida ALGEA SavvasRealize.com 3-1 Additional Practice Relations and Functions What are the domain and the range of each function? 1. 3 8 11 2. X -3 -1 2 7 y 6 7. 14 y 9 4 -5 -7 1amin- 3,5,るら! range= 6,7,7,9,14 pa main=-3,-1,2,5,7 Ramge-95,4-5-7 Is each relation a function? If so, state whether it is one-to-one or many-to-one. 3. {(-4, 7), (-3, 5), (1, 4), (3, –8), (5, –11)} 4. {(-4, 8), (–2, 4), (0, 1), (2, 4), (4, 8)} 5. 6. 7. Explain how the vertical line test proves that a relation is not a function. 8. Fiona buys different amounts of gas at $2.25 per gallon. She has a graph that shows the amount she should pay as a function of the amount of gas she buys. What constraints are there on the domain of the function?
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