Domain and Range

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Domain and Range
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Domain the set of all INPUTS in a relation.
All possible x-values! List each value only once
and in order from least to greatest.
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RANGE The set of all OUTPUTS in a relation.
All possible y-values! List each value only once
and in order from least to greatest.
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You can find domain range given a variety of
modes

• Table
• Set of points
• Mapping
• Equation
• Graph
• Situation

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Table
All x-values from smallest to biggest
x y
4 3
2 5
4 7
3 9
1 12
Domain ____________ Range _____________
1, 2, 3, 4
3, 5, 7, 9, 12
All y-values from smallest to biggest
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Set of Points
(1,0), (-1,1), (1,2), (-3,3)
Domain Range
-3, -1, 1
0, 1, 2, 3
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Mapping
Domain Range
-1, 2, 4, 7
3, 6, 9
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Equation
Find the range of the given equation when the
domain is -5, 0, 5
y 3x2 - 1
Range
-1, 74
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Graph
D R
-3, -2, 0, 2
(0, 4)
(-2, 3)
-1, 0, 3, 4
(-3, 0)
(2, -1)
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Graph
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• D
• R

- 6
5
- 4
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Situation
Maria earns 7 per hour for baby-sitting after
school and on Saturday. She works no more than
16 hours a week.
Independent Dependent
The number of hours she works
The amount Maria earns
Domain Range
0 to 16 hours
0 to 112
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LETS PRACTICE!
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Table
x y
4 5
5 15
3 5
-1 0
0 10
Domain ___________ Range ____________
-1, 0, 3, 4, 5
0, 5, 10, 15
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(2, 3), (5, 2), (-1, 3)
Set of Points
Domain Range
-1, 2, 5
2, 3
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Mapping
Domain Range
1, 3, 5
0, 5, 10
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Equation
Find the range of the given equation when the
domain is -2, 0, 4
y 2x 4
Range
-8, -4, 4
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Graph
-6, -2, -1, 3, 5

• D
• R

-6, -4, -1, 5
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Graph
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D R
2
- 4
- 4
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Graph
1
D R
- 1
6
- 6
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Graph
No top y-boundary 8
D R
3
No left x-boundary - 8
- 5
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Situation
Taras car travels about 25 miles on one gallon
of gas. She has between 10 and 12 gallons of gas
in the tank.
Independent Dependent
The number of gallons of gas
Distance travel
Domain Range
0 to 12 gallons of gas
0 to 300 miles