Algebra 1 Notes
5.1 – Relations
Date ______________
The Coordinate System: formed by the intersection of two number lines, the horizontal and vertical axes.
Ordered Pairs:
X – Coordinate:
Y – Coordinate:
Part 1: Representing Relations
Relation:
Set of Ordered Pairs
Table:
Graph:
(2,3), (4,1), (3,1), (0,3)
X
Relation Rule:
Domain:
Range:
Y
Mapping:
Practice Representing Relations
Directions:
a) Determine the domain and range of the relation.
b) Express each relation as a table, a graph, and a mapping.
1) Relation:
(4,3), (3,2), (4,1), (0,3)
Table:
X
Domain:
Graph:
Range:
Mapping:
Y
Part 2: Creating Relations
Example 1: June is ordering tickets for a show. Tickets cost $22 each and there is a $6 surcharge per order.
Make a function table for 4 different input values and write an algebraic expression for the rule. Then state
the domain and range of the function.
Input (x)
Rule:
Output (y)
Step 1: Create a table showing input, rule, and
output. Enter 4 different input values.
Step 2: Translate the phrase “Tickets cost $22 each
and there is a $6 surcharge per order” for the rule.
Step 3: Use the rule to complete the table.
Step 4: State the domain and range of the function.
Example 2: In a game “What’s My Rule? Anna picked the card that read “double a number then add three”.
Make a function table for 4 different input values and write an algebraic expression for the rule. Then state
the domain and range of the function.
Input (x) Rule:
Output (y)
Rule:
Domain:
Range: