Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

Objective 1)To express a function as a mapping. 1)To evaluate and write equations for linear functions. Section 9d - Functions as Mappings

1) Express as a table, graph and mapping for the domain {-2, -1, 0, 1, 2}.

2) Express as a table, graph and mapping for the domain {0, 4, 9}.

3) The diagram shows a function f mapping members of set X to set Y. a)Using set notation, write down the members of the domain and range. b)Find the equation of the function f.

A linear function is a function of the form: Section 9E - Linear Functions or Where a ≠ 0

Graph of a Linear Function

Find the cost of hiring the tennis court for: a) 4 hours b) 10 hours.

2) Ace taxi services charge $3.30 for stopping to pick up a passenger and then $1.75 per km traveled thereafter. a) Complete the table below. Distance (km) Cost ($C) b) Graph C against d. c) Find the rule connecting the variables. d) Find the cost of a 9.4 km trip. Graph it on your TI-84 Plus Silver Edition Graphic Display Calculator.

3) An electrician charges $60 for calling and $45 per hour thereafter. a) Create a table for hours, t = 0, 1, 2, 3, 4, 5 against cost C. b) Graph C against t. c) Find the rule connecting the variables. d) Find the cost for a job lasting 6.5 hours.

Homework Exercise 9D, pg278 – #1abg, 2ab, 3ab Exercise 9E, pg282 – #1, 2, 6-8