Functions and relations (domain and range) — KCSE Mathematics
KCSE Mathematics · 96 practice questions · 4 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Define a relation and a function; determine the domain and range of a function from a set of ordered pairs, mapping diagram or equation
Distinguish between one-to-one, many-to-one and one-to-many mappings; determine which are functions
Find the composite function fg(x) and the inverse function f⁻¹(x) for simple functions
Functions and relations (domain and range)
Sample Questions
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Let the function f(x) = x² + 2 for x ≥ 0. (a) Find f(4). (b) State the range of f(x). (3 marks)
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Identify the type of mapping represented by the function f(x) = 2x + 3. Explain your reasoning. (2 marks)
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Identify whether the relation defined by the set of pairs R = {(1, 2), (2, 3), (3, 4), (1, 5)} is a function. Justify your answer. (3 marks)
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Why Practise Functions and relations (domain and range)?
KNEC Aligned
Questions match the KCSE syllabus objectives and exam format exactly.
Detailed Marking Schemes
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