Ch. 12.1 Relations and Functions Objective: To be able to determine whether a given relation is a function.

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Ch Relations and Functions Objective: To be able to determine whether a given relation is a function.

InputOutputFunction xy y = 5x InputOutput xy y = 5x Function – a relation where there is exactly one y (range) for every x (domain).

A rule or equation where there is exactly one output for every input. Function - For every x-value there is exactly one y-value. x y No x- value repeats Yes, it is a function x y No x- value repeats Yes, it is a function x y x-value repeats No, it is not a function

Write a function rule that relates x and y in the tables below. 1) 2) 3) 4) x y y = 4x x y y = x + 5 x y y y = 3x + 2

Examples: Determine whether each relation is a function Domain Range Yes, its is a function. Domain Range Yes, it is a function.

Examples: Determine whether each relation is a function Domain Range Yes, it is a function. Domain Range No, it is not a function.

Example Find the domain and range of each relation. Is the relation a function? 1.[(3,6), (7,1), (4,21), (9,100)] 2. [(15, 2), (15,1), (2,9), (2, 11)] 3. [(1,1), (2,2), (3,3), (4,4)]