1. 1-6 Relations
Goals:
Represent relations as tables, ordered pairs, graphs and mappings.
Eligible Content:
A / A / A / A

2. Vocabulary
Coordinate Plane – two real number lines that intersect at a right angle.
y - axis
origin
x - axis

3. Vocabulary
Axes – the horizontal and vertical number lines on a coordinate plane
x-axis – the horizontal number line
y-axis – the vertical number line
Origin – where the two axes meet (0,0)

4. Vocabulary
Quadrants – The four regions into which the x- and y-axes separate the coordinate plane. II I
III IV

5. Vocabulary
Ordered Pair – each point in the plane. Also called coordinates.
x – coordinate – the first number in the ordered pair.
y – coordinate – the second number in the ordered pair.

6. Plotting Points A
A (4, 5) B (-2, 3) C (0, -3) D (4, -1) B D C

7. Plot each point and tell which quadrant it lies in.
B (-6, 3)
C (-5, -4)
D (7, -5)
E (0, 4)
F (7, -2)
G (-8, -4)
H (-3, 0)

8. Tell the Coordinates!! A C H G D E F B

9. Vocabulary Relation – any set of ordered pairs.
Domain – set of the first numbers of the ordered pair. (x values)
Range – set of the second numbers of the ordered pair. (y values)

10. Different Looks of Relations
Table
Mapping
Ordered Pairs
Graph

11. Table x y 3 1 5 2 7 9

12. Mapping 2 4 6 8 5 3 2 8

13. Ordered Pairs
{(2,4),(3,6),(4,8),(5,10)}

14. Graph

15. Examples Express each relation as a table, graph and mapping.
{(4, 3),(-2, -1),(2, -4),(0, -4)}
{(-2, 6),(5, 2),(-3, 8),(4, -2)}

16. Express the relation {(3, –2), (4, 6), (5, 2), (–1, 3)} as a mapping.
A. C.
B. D.

17. Examples Determine the domain and range of each relation.
{(4, 3),(-2, -1),(2, -4),(0, -4)}
{(-2, 6),(5, 2),(-3, 8),(4, -2)}

18. Determine the domain and range of the relation
{(3, –2), (4, 6), (5, 2), (–1, 3)}.
D = {–1, 3, 4, 5}; R = {–2, 2, 3, 6}
D = {–2, 2, 3, 6}; R = {–1, 3, 4, 5}
D = {–1, 3}; R = {–2, 2}
D = {4}; R = {4}

19. Practice
Page 43 #1 & 2

20. Homework
Pages #10-14 even
#21, 22, 24, 25
#27-31