# Basic Properties

#### Lesson

##### Functions vs Relations

What’s the difference between a function and a relation? What is function notation? What’s the purpose of an equation of a function? What are the basic functions?

#### Lesson

##### Domain and Range

How do you determine the domain and range of a relation if you’re given a graph? What if you’re given ordered pairs or an equation? What is the machine model of a function?

#### Lesson

##### Transformations of Functions

When you can accurately identify the transformation values, you can more easily describe what each does to the graph. The values $a$ and $c$ located outside the brackets transform the function vertically. The values $k$ and $c$ located within the brackets transform the function horizontally.

#### Lesson

##### Inverse Functions

You can easily graph any function using our Simple Steps to Graphing. These steps can be used at almost any level including advanced functions.