1. Relations and Functions
2.1
Relations and Functions
Learning Goals
graph relations
identify functions

2. Vocabulary relation : a set of pairs of ordered pairs
domain : the set of x-values of the ordered pairs
range : the set of y-values of the ordered pairs
function : in relation in which each element of the domain is paired with exactly one element of the range

3. Mapping a Function –3 2 1 2 4 –1 1 4 3 5 –3 1 5 2 6

4. Function or Not?
Function
Not a Function
vertical line test :

5. Ex 1
State the domain and range of the relation shown in the graph. Is the relation a function?
Example 1-1a

6. Ex 2
Graph the relation represented by Find the domain and range. Determine whether the relation is a function. 2 1 –1 y x
Example 1-3a

7. Ex 3
Graph the relation represented by Find the domain and range. Determine whether the relation is a function. 1 2 y x –1 –2
Example 1-4a

8. function notation :
Ex 4
Given , find
Example 1-5a

9. Ex 5
Given find
Example 1-5b