1-6 Relations Goals: Represent relations as tables, ordered pairs, graphs and mappings. Eligible Content: A1.2.1.1.2 / A1.2.1.1.3 / A1.2.1.2.1 / A1.2.1.2.2

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

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)

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

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.

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

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)

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

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)

Different Looks of Relations Table Mapping Ordered Pairs Graph

Table x y 3 1 5 2 7 9

Mapping 2 4 6 8 5 3 2 8

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

Graph

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)}

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

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)}

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}

Practice Page 43 #1 & 2

Homework Pages 43-44 #10-14 even #21, 22, 24, 25 #27-31