Relations and Functions

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Slide 1  Relations and Functions
 Domain and Range

Slide 2  Relation: a set of ordered pairs
 Function: a relation where each input has no more than one output
 EVERY FUNCTION IS A RELATION BUT NOT EVERY RELATION IS A FUNCTION!

Slide 3  There are 3 ways to looks at relations and functions.
 I ordered pair set
 II mapping
 III graphs

Slide 4  I Ordered Pair Set
 To be a function, each ordered pair must have a different
 x value.
 { (1,3) , (5,11) , (2,9) , (1,11) } function
 B. { (1,3) , (5,11) , (1,8) , (1,3)} Not a function

Slide 5  Mapping
 Function?
 Function?

Slide 6  A function will pass the “vertical line test”

Slide 7  Domain and Range
 Domain: set of all inputs for a function.
 Look at the ordered pairs. The x values represent the domain. Put them in a set.
 Range: Set of all outputs for a function.
 Look at the ordered pairs. The y values represent the range. Put them in a set.