REPRESENTING RELATIONS What does it mean to be

REPRESENTING RELATIONS What does it mean to be in a relationship with someone? It means you are a couple… or you are a pair.

There are 4 ways to represent a pair of numbers Ordered Pair (3, 4) (2, -2) (1, 3) (-2, 0) Mapping X 3 2 1 -2 y 4 -2 3 0 Table x y 3 4 2 -2 1 3 -2 0 Graph

Write the Ordered Pairs as a Table • (3, -1), (-5, 3), (2, 1) x 3 -5 2 y -1 3 1

Write the Ordered Pairs as a Table • (6, 12), (5, -2), (-8, -2), (1, 0) x 6 5 -8 1 y 12 -2 -2 0

Write the Ordered Pairs as a Mapping • (3, -1), (-5, 3), (2, 1) X y 3 -5 2 -1 3 1

Write the Ordered Pairs as a Mapping • (6, 12), (5, -2), (-8, -2), (1, 0) X y 6 5 -8 1 12 -2 0

Write the Table as Ordered Pairs x 3 4 -5 1 y 3 4 5 -6 • (3, 3), (4, 4), (-5, 5), (1, -6)

Write the Mapping as Ordered Pairs X y 1 2 3 -1 4 5 6 • (1, 4), (2, 5), (3, 5), (-1, 6)

Vocabulary • Domain – All of the “x” values • Range – All of the “y” values

What is the Domain and Range? • (3, -1), (-5, 3), (2, 1) D: {3, -5, 2} R: {-1, 3, 1}

What is the Domain and Range? • (6, 12), (5, -2), (-8, -2), (1, 0) D: {6, 5, -8, 1} R: {12, -2, 0}

What is the Domain and Range? x 3 4 -5 1 y 3 4 5 -6 D: {3, 4, -5, 1} R: {3, 4, 5, -6}

What is the Domain and Range? X y 1 2 3 -1 4 5 6 D: {1, 2, 3, -1} R: {4, 5, 6}

Function / Non-function • In a function, no “x” value repeats itself • A non-function is when a repeating “x” value is found

Examples • Function x 3 4 -5 1 • Non-function y 3 4 5 -6 x 7 -3 -5 -3 y 1 2 5 4

Examples • Function • Non-function (3, -1), (-5, 3), (2, -1) (5, -2), (6, -3), (5, 1)

Examples • Function • Non-function X y X 1 2 3 -1 4 5 6 5 3 6 5 2 7 1 (3, 2) and (3, 7)

Examples • Function • Non-function Vertical Line Test- Draw a vertical line anywhere on graph, is there more than one point found on the vertical line? Yes, non-function!

Examples • Function • Non-function Vertical Line Test- Draw a vertical line anywhere on graph, is there more than one point found on the vertical line? Yes, non-function!

Function or Non-function? x 3 2 -5 1 y 1 7 -8 0 FUNCTION!!!

Function or Non-function? x 3 4 -5 3 y 3 4 5 -6 NON-FUNCTION!!!

Function or Non-function? x 1 1 2 6 y 3 2 -1 -6 NON-FUNCTION!!!

Function or Non-function? (-2, -2), (3, 4) (12, 1), (3, 2) NON-FUNCTION!!!

Function or Non-function? (1, 1), (2, 2) (3, 3), (-1, 1) FUNCTION!!!

Function or Non-function? (51, 49), (32, 49) (1, 49) FUNCTION!!!

Function or Non-function? (-10, -1), (3, 12) (2, 1), (-10, 2) NON-FUNCTION!!!

Function or Non-function? X y 2 4 6 8 2 4 6 FUNCTION!!!

Function or Non-function? X y 2 4 6 FUNCTION!!!

Function or Non-function? X y -2 7 8 10 12 16 NON-FUNCTION!!!

Function or Non-function? X y 3 6 10 12 16 24 NON-FUNCTION!!!

Function or Non-function? FUNCTION!!!

Function or Non-function? NON-FUNCTION!!!

Function or Non-function? FUNCTION!!!

Function or Non-function? NON-FUNCTION!!!