This document provides examples and non-examples of functions through equations, tables, ordered pairs, and graphs. It includes a linear equation, tables showing inputs and outputs that do and do not represent functions, and discusses how to determine if an equation, table, ordered pair set, or graph defines a function based on the vertical line test and having a single output for each input.

1. Functions
Examples
y = x + 1
x y
-2
-1
0
1
2
How can you determine if a table is a function?
How can you determine if a set of ordered pairs is a function?
Is this linear? How can you tell from the equation, table, and graph?
Non-Examples
x = y2
x y
4 2
1 1
0 0
1 -1
4 -2
(4, 2), (1, 1), (0, 0), (1, -1), (4, -2)
How can you determine if a table is NOT a function?
How can you determine if a set of ordered pairs is NOT a function?
How can you determine if a graph is NOT a function?
Equations
Tables
-2
4
-1
1
0
0
1
1
2
4ab
Ordered Pairs
Graphs
-2
4
-1
1
0
0
1
1
2
4ab