Further Work with Functions
Planned Extension functions work, including deeper function notation, transformations, and graph interpretation.
Active lessons
6
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
6 of 6 active
Lesson 1
Inverse Functions
Find inverse functions, test one-to-one behaviour, and connect domains and ranges.
Lesson 2
Parametric Equations
Convert simple parametric equations to Cartesian form and interpret restricted paths.
Lesson 3
Polynomial Division and Remainders
Use polynomial division and the remainder theorem as tools for analysing functions.
Lesson 4
Odd and Even Functions
Classify odd and even functions using algebraic tests and graph symmetry.
Lesson 5
Absolute Value Functions
Graph, solve, and interpret equations and inequalities involving absolute value functions.
Lesson 6
Reciprocal and Squared Function Graphs
Given a graph of y = f(x), sketch y = 1/f(x) using asymptotes and invariant points, and y = [f(x)]² using sign and magnitude rules.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.