ZIMSEC A-Level Pure Mathematics
6.1.5Relations
Relations in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic59 practice questions3 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 6.1.5.1Form 5: define a relation, its domain, co-domain and range, and describe types of relations.
- 6.1.5.2Form 5: define a function and distinguish between injective (one-to-one), surjective and bijective functions.
- 6.1.5.3Form 5: find the inverse of a given function and illustrate graphically the relation between a one-to-one function and its inverse.
- 6.1.5.4Form 5: illustrate the relationships between the graph of y = f(x) and the graphs of y = |f(x)|, y = af(x), y = f(x) + a, y = f(x + a) and y = f(ax).
- 6.1.5.5Form 5: find composite functions and model situations involving relations.
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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