Ch 2ABC 2A: Relations and Functions 2B: Function Notation 2C: Domain and Range

 Charges for parking a car in short-term car park at an airport are shown in the table below. The total charge is dependent upon the length of time t the car is parked.  How much for 1 hour? 2A: Relations and Functions

Relations

 A relation is any set of points which connect two variables.  Relations are often expressed as equations connecting the variables x and y in a Cartesian plane.  Example of relations that are not equations: Relations

 A function sometimes called a mapping is a relation in which no two different ordered pairs have the same x-coordinate or first component.  Testing for a function  Geometric Test or Vertical Line test Function

 A function sometimes called a mapping is a relation in which no two different ordered pairs have the same x-coordinate or first component.  Testing for a function  Geometric Test or Vertical Line test Function

2B: Function Notation

 Use set notation for Cartesian planes: 2C: Domain and Range

 Number Line Graphs Domain and Range

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Example