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  3. Mathematics: Analysis and Approaches
  4. B.1 Function Foundations
Topic 06Mathematics: Analysis and Approaches

B.1 Function Foundations

Equations of straight lines (forms, gradient, parallel and perpendicular); the concept of a function with domain, range, and notation; sketching and interpreting graphs; key features (intercepts, max/min, asymptotes, intersections); composite, identity, and inverse functions.

Practice questions
1

Equations of a straight lineSign up

Straight-line equations — forms, gradient, parallel and perpendicular

35 min
2

Concept of a function — domain, range, notationSign up

Function definition, notation, and domain/range

30 min
3

Graph of a functionSign up

Sketching and interpreting a function graph

30 min
4

Key features of graphs and intersectionsSign up

Intercepts, max/min, asymptotes, intersections

35 min
5

Composite, identity, and inverse functionsSign up

Composite functions and the identity function · Inverse functions — find and graph as reflection in y = x

35 min

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A.5 Complex Numbers, Induction, and Linear Systems

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B.2 Quadratic and Rational Functions