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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