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CAPE Pure Mathematics•CAPE Unit 1 Topics

Functions & Algebra

University 8 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial team
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What functions & algebra means

Functions, indices, logarithms and the modulus for CAPE Pure Maths Unit 1.

Before you start

Not confident yet? Work through Trigonometry & Introductory Calculus first.

Worked example

One question from this skill's own question bank, shown with its full working.

Question

For a function to have an inverse it must be:

  • many-to-one
  • one-to-one
  • constant
  • undefined
Answer: one-to-one

Working: Only one-to-one (injective) functions have well-defined inverses.

Curriculum and exam alignment

Tertiary foundation coursework

Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.

Related skills

Other CAPE Unit 1 Topics skills in CAPE Pure Mathematics, at the same point in the course.

Other CAPE Pure Mathematics topics

CAPE Past Questions Practice

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Exams that assess functions & algebra

University work on this skill feeds directly into these exam papers. Each page lists the CAPE Pure Mathematics topics that appear on it.

CAPECAPE practice questionsThis subject is one of the practice areas on the CAPE page.CSECCSEC practice questionsListed as a related subject on the CSEC practice page.

How this page was produced

This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.

Written by
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All CAPE Pure Mathematics skills

Practise functions & algebra

8 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.

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