Cambridge AS & A Level Mathematics
1.2Functions
Functions in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic51 practice questions3 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 1.2.1Understand function, domain, range, one-one function, inverse function and composition of functions.
- 1.2.2Identify the range of a given function in simple cases and find the composition of two given functions.
- 1.2.3Determine whether a function is one-one and find the inverse of a one-one function in simple cases.
- 1.2.4Illustrate graphically the relation between a one-one function and its inverse.
- 1.2.5Understand and use the transformations y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) and simple combinations of them.
Lessons
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Composite and inverse functions
40 min
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Functions and relations: mappings, domain and range
35 min
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Transformations of graphs
40 min
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Sample question
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