<meta http-equiv="refresh" content="1; url=/nojavascript/">

# Relations and Functions

%
Progress
Progress
%
Relations and Functions

Feel free to modify and personalize this study guide by clicking “Customize.”

### Relations and Functions

#### Vocabulary

Fill in the definitions.

 Word Definition Relation _______________________________________________________ Function _______________________________________________________

In your own words, describe the difference between a relation and a function.

What are the requirements for a relation to be a function?

#### Practice

Determine if each relation is a function and explain why:

Representation Example

Is it a function?

Why?

Set of ordered pairs (1,3), (2,4), (3,3), (4,19) (a subset of the ordered pairs for this function)
Equation $y=7x-4$
Graph

1. Can a function definition be written in the form $x = 3y$ instead of $y = 3x$ ?
2. Is it mandatory for a function to have both an input and an output?
3. Give an example of a relation that is not a function, and explain why it is not a function.

Determine if each relation is a function:

1) $(-1,7) (0, 2) (0, 4) (1, 8) (2, 13)$

2) $x = |y|$

3)

4)

5)