Understanding Patterns, Relations, and Functions

describe, extend, and make generalizations about geometric and numeric patterns;

represent and analyze patterns and functions, using words, tables, and graphs.

Common Number Patterns

An Arithmetic Sequence is made by adding some value each time.

Example:
1, 4, 7, 10, 13, 16, 19, 22, 25, ...

This sequence has a difference of 3 between each number.
The pattern is continued by adding 3 to the last number each time.

In mathematics, what distinguishes a function from a relation is that each x value in a function has one and only ONE y-value.

A relation is just a set of ordered pairs.

Some Examples of Relations include
{ (0,1) , (55,22), (3,-50) }
{ (0, 1) , (5, 2), (-3, 9) }
{ (-1,7) , (1, 7), (33, 7), (32, 7) }

Note: { } are the symbol for "set"

Functions are a special kind of relation .

At first glance, a function looks just like a relation.

EXAMPLE:{ (0,1) , (5, 22), (11,9) }

Like a relation, a function has a domain and range made up of the x and y values of ordered pairs.