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# Relations and Functions

## Comparison of two or more sets of values, and cases where input corresponds with exactly one output.

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Relations and Functions

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### 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=7x4\begin{align*}y=7x-4\end{align*}
Graph

1. Can a function definition be written in the form x=3y\begin{align*}x = 3y\end{align*} instead of y=3x\begin{align*}y = 3x\end{align*} ?
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)\begin{align*}(-1,7) (0, 2) (0, 4) (1, 8) (2, 13)\end{align*}

2) x=|y|\begin{align*}x = |y|\end{align*}

3)

4)

5)