Algebra 1

Relations and Functions

Function Rules, Tables & Graphs

School Day 9 Objective:3.01, 3.03

Vocabulary

Relation – set of ordered pairs

Domain – x values

Range – y values

Function – relation that assigns exactly one value in the range to each value in the domain

Function Examples

This is a function. This is NOT a function.

1

2

3

2

3

1

2

3

2

3

Examples

Find the domain & range.

1) {(1,2), (1,7), (3,4)}

2) Table x y

-1 3

0 6

4 -1

3) Mapping

4

5

6

-1

2

Examples

Use a vertical line test to determine if the relation is a function.

4) {(4,-2), (1,2), (0,1), (-2,2)}

5) {(0,2), (1,-1), (-1,4), (0,-3)}

Examples

Use a mapping to determine if the relation is a function.

6) {(3,-2), (8,1), (9,2), (3,3)}

7) {(6,0), (7,-1), (6,0), (2,6)}

Find the range if the domain is {-4, -2, 0, 4}.

8) y = -2x + 1

9) f(x) = 3x – 7

10) y = x3 + 2

Examples

Model the rule with a table and a graph.

Use D={ -2, -1, 0, 1, 5}

11)f(x) = 3x + 4 12) f(x) = |x| - 1

Examples

Model the rule with a table and a graph.

Use D={ -2, -1, 0, 1, 5}

13) y = x2 – 1 14) y = 8 - x

Assignment

Pg 244 #1-10