R00505 Functions and Relations
Goals
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Functions Overview was difficult because it carried the whole volume of Grade 11 with it. Here is an easy lecture. Relations define a relationship between input variables and output variables. For and relation to be called a function there can be only one output variable - y for every input variable -x There are two types of functions One - to - One Many - to - One We use a Vertical Line test to test that the graph only touches the vertical line once - a function. More than once - not a function We use the Horizontal Line Test to test that the graph only touches the horizontal line once - a one-to-one function. More than once - a many-to-one function You must be able to identify the Domain and Range of each function or relation |
External Links
| Siyavula | ||
| The Maths Page | ||
| Mathplanet | ||
| Kahn | ||
| Exam Solutions..... | Functions and Relations | |
| Varsity Tutors | ||
| Maths is Fun | Functions | |
| Wolfram Mathworld | ||
| Mathworks | ||
| FreeMathHelp | What are Functions | |
| Purple Math | Functions and Relations | |
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Meta Calculator |
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Advanced
Beyond the Grade 12 Syllabus - only advanced students should follow
| The Maths Page | Rational Functions | |
| Wikipedia | Function Composition |
Exercises
Do the exercises on paper BEFORE looking at the answers
| BBC |
Functions Part 1 - Test Functions Part 2 - Test |
| That Quizz | Domains and Range | |
| That Quizz | Functions and Relations | |
| That Quizz | Functions, Domain and Range | |
| Mathopolis | Functions |
Exercises