1. Name the quadrant or the axis on which the following points lie.
Exercise
Name the quadrant or the axis on which the following points lie.

2. (−3, −4)

3. (−2, 10)

4. (15, 0)

5. (0.5, 253)

6. (0, 0.5)

7. (0, 0)

8. Relation
A relation is a set of ordered pairs.

9. Domain & Range A = {(2, 3), (−3, 2), (−4, −3), (4, −3)}
Domain: D = {−4, −3, 2, 4}
Range: R = {−3, 2, 3}

10. Example 1
Give the domain and range of the relation C. C = {(−1, 3), (2, 0), (2, 3), (3, −2), (−2, −4)}.
D = {−2, −1, 2, 3}; R = {−4, −2, 0, 3}

11. Example
Give the domain and range of the relation R = {(0, 1), (−3, 2), (5, 4), (2, −3)}.
D = {−3, 0, 2, 5};
R = {−3, 1, 2, 4}

12. Example Give the domain and range of the graphed segment.
D = −4 ≤ x ≤ 2;
R = {3}

13. Example
If the segment is changed to a line, what is the relation’s domain and range?
D = real numbers;
R = {3}

14. Example 2
Write the set of ordered pairs for the relation shown. Name the relation C.

15. y A B D x C F E

16. C = {(−2, 5), (−5, −2), (3, 2), (1, 6), (3, −6), (0, −5)}

17. Example 3
Write the set of ordered pairs for relation G if y = 2x for each ordered pair and the domain of the relation is {−2, 0, 1, 3}.

18. y = 2x
x = −2 y = 2(−2) = −4
x = 0 y = 2(0) = 0
x = 1 y = 2(1) = 2
x = 3 y = 2(3) = 6
G = {(−2, −4), (0, 0), (1, 2), (3, 6)}

19. Example 4
Graph the relation G = {(−2, 3), (−4, −1), (0, 6), (3, 6), (5, 7)}.

20. y x

21. Example 5
Graph the relation J if y = x + 3 for each ordered pair and the domain of the relation is {−4, 0, 3}.

22. y = x + 3
x = −4 y = −4 + 3 = −1
x = 0 y = = 3
x = 3 y = = 6
J = {(−4, −1), (0, 3), (3, 6)}

23. y x

24. Example
Graph the relation A = {(1, 2), (−2, 2), (3, 3), (−1, 3)} and give its domain and range.
D = {−2, −1, 1, 3}
R = {2, 3}

25. y x

26. Example
Graph the relation B = {(1.5, 2.5), (2.25, 3.75), (4, 5)} and give its domain and range.
D = {1.5, 2.25, 4}
R = {2.5, 3.75, 5}

27. y x

28. Example
Write the set of ordered pairs for relation C if y = 3x − 2 for each ordered pair and the domain of the relation is {−2, −1, 0, 1, 2}.
C = {(−2, −8), ( −1, −5), (0, −2), (1, 1), (2, 4)}

29. Exercise
Give the domain and range of the following relation, and determine the equation that describes each relation.
{(1, −4), (2, −8), (3, −12), (4, −16)}
D = {1, 2, 3, 4}; R = {−4, −8, −12, −16}; y = −4x

30. Exercise
Give the domain and range of the following relation, and determine the equation that describes each relation.
{(−9, −3), (−6, −2), (−3, −1), (0, 0)}
D = {−9, −6, −3, 0}; R = {−3, −2, −1, 0}; y = ⅓x