The document discusses functions, relations, domains, ranges and using vertical line tests, mappings, tables and graphs to represent and analyze functions. It provides examples of determining if a relation is a function, finding domains and ranges, modeling function rules with tables and graphs using given domains, and solving other function problems.

1. Algebra 1 Relations and Functions Function Rules, Tables & Graphs School Day 9 Objective:3.01, 3.03

2. 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

3. Function Examples This is a function. This is NOT a function.

4. Examples Find the domain & range. {(1,2), (1,7), (3,4)} 2) Table 3) Mapping x y -1 3 0 6 4 -1

5. 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)}

6. 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 = x 3 + 2

7. 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

8. Examples Model the rule with a table and a graph. Use D={ -2, -1, 0, 1, 5} 13) y = x 2 – 1 14) y = 8 - x

9. Assignment Pg 244 #1-10