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Lesson 8.1. Use graphs to represent relations and functions. Relation – a pairing of numbers in one set with numbers in another set Doma in (x) – the set of all possible in puts for the relation Range (y) – the set of all possible outputs for the relation

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lesson 8 1

Lesson 8.1

Use graphs to represent relations and functions

slide2
Relation – a pairing of numbers in one set with numbers in another set
  • Domain (x) – the set of all possible inputs for the relation
  • Range (y) – the set of all possible outputs for the relation
  • *a relation can be represents by ordered pairs. x-value is the domain and the y-value is the range.
domain and range
Domain and Range
  • What is the domain and range?

Example: (0,1) (2,4) (3,7) (5,4)

1.) (-1,2) (-3,-1) (6,0) (-1,4)

slide4
Representing Relations – relations

can be ordered pairs, set up in a table, a graph or by mapping.

Ex: (2,0) (1,-1) (2,2) (0,0) (-1,1)

2.) Represent (3,2) (2,4) (1,-2) (0,-3) (3,-1) as a relation in a graph and mapping.

slide5
Function – a relation is a function if

for input there is exactly one output

Tell whether the relation is a function

Ex: (0,3) (1,2) (2, -1) (4,4) (5,4)

3.) (-2,-1) (0,2) (2,3) (-2,-4)

4.) (2,5) (4,7) (6,5) (8,7)

5.) (2,9) (4, 11) (2,10)

slide6
Vertical Line Test – if you can find

a vertical line passing through more than one line in a graph, then the relation is not a function

Ex: Ex: