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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 $y=7x-4$
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)