Representing Relations and Functions With Graphs
Learn about relations and functions through ordered pairs, domain, range, and graphs. Understand how to distinguish functions using the vertical line test. Practice examples to solidify your knowledge.
Representing Relations and Functions With Graphs
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Presentation Transcript
Lesson 8.1 Use graphs to represent relations and functions
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 • What is the domain and range? Example: (0,1) (2,4) (3,7) (5,4) 1.) (-1,2) (-3,-1) (6,0) (-1,4)
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.
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)
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:
