Name
Date
Period
Relations and Functions (2-1)
Vocabulary
Relation:
Examples:
Ordered Pairs:
{(-2, 1), (0, 1), (1, 0), (4, 1), (6, 2)}
Mapping Diagram:
Table:
Graph:
Domain:
Range:
Using Your Vocabulary
Represent the following relation as ordered pairs, mapping diagram, table, and graph.
The average water temperature of the Gulf of Mexico in Key West, Florida varies during the year. In January,
the average water temperature is 69˚ F; in February, 70˚F; in March, 75˚F; and in April, 78˚F. How can you
represent this relation the four different ways?
Ordered Pairs:
Graph:
Mapping Diagram:
Table:
1.
Find the domain and range of this relation.
{(-3, 14), (0, 7), (2, 0), (9, -18), (23, -99)}
Domain:
Range:
Vocabulary
Function:
Examples:
Ordered Pairs:
{(-1, -4); (0, -2), (10, -4); (6, -2)}
Mapping Diagram:
Table:
Graph:
Vertical-line test:
Function Notation: way to write an equation that shows the output values depend on the input
values
Example: f(x) = 3x +2
Read as f of x equals 3 times x plus 2.
Evaluate each function for the given value of x and write the input x and output f(x) as an ordered pair.
1.
f(x) = 3x +2 for x = 1
Think – Pair - Share
Evaluate each function for the given value of x and write the input x and output f(x) as an ordered pair.
1. f(x) = -3x +2; x = -4
2.
f(x) = x2 + 3x + 7; x = -2
Find the domain and range of each relation, and determine whether it is a function.
Write a function rule for the following.
1. A pizza cost $14. The flat delivery fee is $1.50. What function rule models the total cost of the
number of pizza delivered? Evaluate for 5 pizza.
Homework: Worksheet