1. Domain and Range

2. 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.

3. 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.

4. You can find domain & range given a variety of modes:
Table
Set of points
Mapping
Equation
Graph
Situation

5. Table Domain: ____________ Range: _____________ x y 4 3 2 5 7 9 1 12
All x-values from smallest to biggest x y 4 3 2 5 7 9 1 12
Domain: ____________
Range: _____________
{ 1, 2, 3, 4 }
{ 3, 5, 7, 9, 12}
All y-values from smallest to biggest

6. Set of Points Domain: Range: {(1,0), (-1,1), (1,2), (-3,3)}
{-3, -1, 1}
{0, 1, 2, 3}

7. Mapping 7 2 4 -1 9 3 6
x y
Domain:
Range:
{-1, 2, 4, 7}
{3, 6, 9}

8. Find the range of the given equation when the domain is {-5, 0, 5}:
y = 3x2 - 1
Range:
{-1, 74}

9. Graph D: R: {-3, -2, 0, 2} {-1, 0, 3, 4} (0, 4) (-2, 3) (-3, 0)
(2, -1)

10. Graph 4 D: R:
- 6 5
- 4

11. 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

12. LET’S PRACTICE!

13. Table Domain: ___________ Range: ____________ x y 4 5 15 3 -1 1010
Domain: ___________
Range: ____________
{ -1, 0, 3, 4, 5 }
{ 0, 5, 10, 15}

14. Set of Points {(2, 3), (5, 2), (-1, 3)} Domain: Range: {-1, 2, 5}
{2, 3}

15. Mapping 3 5 1 10
x y
Domain:
Range:
{1, 3, 5}
{0, 5, 10}

16. Find the range of the given equation when the domain is {-2, 0, 4}:
y = 2x – 4
Range:
{-8, -4, 4}

17. Graph D: R:
{-6, -2, -1, 3, 5}
{-6, -4, -1, 5}

18. Graph 5 D: R:
- 4 2
- 4

19. Graph 1 D: R:
- 1 6
- 6

20. Graph
No top y-boundary ∞ D: R: 3
No left x-boundary
- ∞
- 5

21. Situation
Tara’s 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