Relations and Functions

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Presentation transcript:

Relations and Functions 2.1 Relations and Functions Learning Goals graph relations identify functions

Vocabulary relation : a set of pairs of ordered pairs domain : the set of x-values of the ordered pairs range : the set of y-values of the ordered pairs function : in relation in which each element of the domain is paired with exactly one element of the range

Mapping a Function –3 2 1 2 4 –1 1 4 3 5 –3 1 5 2 6

Function or Not? Function Not a Function vertical line test :

Ex 1 State the domain and range of the relation shown in the graph. Is the relation a function? Example 1-1a

Ex 2 Graph the relation represented by Find the domain and range. Determine whether the relation is a function. 2 1 –1 y x Example 1-3a

Ex 3 Graph the relation represented by Find the domain and range. Determine whether the relation is a function. 1 2 y x –1 –2 Example 1-4a

function notation : Ex 4 Given , find Example 1-5a

Ex 5 Given find Example 1-5b