Functions and graph sketching — Topic Review | Year 12

QUICK RECAP

Connect the ideas

Check the original domain before simplifying.

Composition acts from inner to outer.

Injectivity depends on the chosen domain.

Inverse functions exchange domain and range.

Distinguish input transformations from output transformations.

Use exact intercepts, holes, poles, derivatives and limits to organise each graph branch.

Practice tests

Complete each paper and show your working.

Functions and graph sketching — Practice test 1
10 questions · 46 marks · 70 minutes · Scientific calculator
Ten multipart questions combining exact calculations, domains, graph evidence, interpretation and reasoning. Show working and label key graph features.
Open test Marking guide
Functions and graph sketching — Practice test 2
10 questions · 48 marks · 70 minutes · Scientific calculator
Ten multipart questions combining exact calculations, domains, graph evidence, interpretation and reasoning. Show working and label key graph features.
Open test Marking guide
Functions and graph sketching — Practice test 3
10 questions · 49 marks · 70 minutes · Scientific calculator
Ten multipart questions combining exact calculations, domains, graph evidence, interpretation and reasoning. Show working and label key graph features.
Open test Marking guide
Functions and graph sketching — Practice test 4
10 questions · 48 marks · 70 minutes · Scientific calculator
Ten multipart questions combining exact calculations, domains, graph evidence, interpretation and reasoning. Show working and label key graph features.
Open test Marking guide
Functions and graph sketching — Practice test 5
10 questions · 51 marks · 70 minutes · Scientific calculator
Ten multipart questions combining exact calculations, domains, graph evidence, interpretation and reasoning. Show working and label key graph features.
Open test Marking guide
Functions and graph sketching — Practice test 6
10 questions · 50 marks · 75 minutes · Scientific calculator
Ten multipart questions combining exact calculations, domains, graph evidence, interpretation and reasoning. Show working and label key graph features.
Open test Marking guide

Back to Functions and graph sketching

Connect the ideas

Practice tests

Functions and graph sketching — Practice test 1

Functions and graph sketching — Practice test 2

Functions and graph sketching — Practice test 3

Functions and graph sketching — Practice test 4

Functions and graph sketching — Practice test 5

Functions and graph sketching — Practice test 6