Basic Algebra/Lines (Linear Functions)/Functions and Relations

Vocabulary edit

Lesson edit

y = x^2

Is this a function?

versus, y^2 = x

Is this a function?

The first equation is a function because x has only one y-value, whereas the second equation has many values.

In a function, each domain value or x-value should only have one y-value, otherwise it is not a function.

Definition: In two sets, A and B, a function is a mapping from A to B.

This mapping should satisfy the following conditions in order for it to be a function:

  1. All the elements of set A should be paired with any element of set B.
  2. An element of set A should not be paired with more than one element of set B. (i.e. the first coordinates of an ordered pairs should not be repeated)

Example Problems edit

Practice Games edit

Practice Problems edit