Series Author and Senior Consultant Marian Small Lead Author Chris Kirkpatrick Authors Barbara Alldred • Andrew Dmytriw • Shawn Godin Angelo Lillo • David Pilmer • Susanne Trew • Noel Walker
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Functions 11 Series Author and Senior Consultant Marian Small Lead Author Chris Kirkpatrick Authors Barbara Alldred, Andrew Dmytriw, Shawn Godin, Angelo Lillo, David Pilmer, Susanne Trew, Noel Walker Contributing Authors Kathleen Kacuiba, Ralph Montesanto Senior Consultant David Zimmer Math Consultant Kaye Appleby
General Manager, Mathematics, Science, and Technology Lenore Brooks Publisher, Mathematics Colin Garnham Associate Publisher, Mathematics …show more content…
Paul Alves Mathematics Department Head Stephen Lewis Secondary School Peel District School Board Mississauga, ON Terri Blackwell Mathematics Teacher Burlington Central High School Halton District School Board Burlington, ON Karen Bryan Program Resource Teacher, Numeracy & Literacy 7–12 Upper Canada District School Board Brockville, ON Angela Conetta Mathematics Teacher Chaminade College School Toronto Catholic District School Board Toronto, ON Justin De Weerdt Mathematics Department Head Huntsville High School Trillium Lakelands District School Board Huntsville, ON Robert Donato Secondary Mathematics Resource Teacher Toronto Catholic District School Board Toronto, ON Richard Gallant Secondary Curriculum Consultant Simcoe Muskoka Catholic District School Board Barrie, ON Jacqueline Hill K–12 Mathematics Facilitator Durham District School Board Whitby, ON Punitha Kandasamy Classroom Teacher (Secondary— Mathematics) Mississauga Secondary School Peel District School Board Mississauga, ON Halyna Kopach Mathematics Department Head Mary Ward Catholic Secondary School Toronto Catholic District School Board Toronto, ON Richard Long Mathematics Department Head Centennial Secondary School Hastings and Prince Edward District School Board Belleville, ON Frank Maggio Department Head of Mathematics Holy Trinity High School Halton Catholic District School Board Oakville, ON Peter Matijosaitis Mathematics Department Head Loretto Abbey Catholic Secondary School Toronto Catholic District …show more content…
This is not a function.
Olivier’s Solution: Using a Mapping Diagram
a) Student
Craig Magda Stefani Amit
Practice day
Sat Thurs Tues
I drew a diagram of the relation between students and soccer practice days by listing the student names in an oval and the days in another oval. Then I drew arrows to match the students with their practice days. The diagram is called a mapping diagram, since it maps the elements of the domain onto the elements of the range.
Domain 5 {Craig, Magda, Stefanie, Amit} Range 5 {Tuesday, Thursday, Saturday}
The elements in the left oval are the values of the independent variable and make up the domain. The elements in the right oval are the values of the dependent variable and make up the range. I wrote the domain and range by listing what was in each oval. The relation is a function because each student name has only one arrow leaving it. I drew another mapping diagram for the age and practice day relation. I matched the ages to the practice days.
Each element of the domain has only one corresponding element in the range, so the relation is a function.
b) Age
15 16 17
Practice day
Sat Thurs