Study Guide
Functions, Domain and Range
An HSC/VCE-style study guide to function notation, the vertical line test, and finding the domain and range of common functions. Worked…
- Difficulty
- Level 2 · Standard
- Time
- 25 min
Extra practice for Year 11 Function Notation, Composites and Inverses Worksheet — Level 2: the same skill with fresh questions.
WorksheetYear 11Level 2 · Standard
Free Year 11 Function Notation, Composites and Inverses Worksheet — Level 2 — Practice Set 3
Practice Set 3 for Year 11 Function Notation, Composites and Inverses Worksheet — Level 2: the same skill and level with a fresh set of questions and a full answer sheet.
More practice: Set 1 · Practice Set 2 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 11
- Subject
- Maths
- Topic
- Functions
- Difficulty
- Level 2 · Standard
- Estimated time
- 15 minutes
- Curriculum
- Australian Curriculum
- Questions
- 12
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practise
- evaluating functions in f(x) notation
- forming composite functions
- finding inverse functions
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 11 Function Notation, Composites and Inverses Worksheet — Level 2 — Practice Set 3
How to use this worksheet
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this worksheet for?
Year 11 students (typically ages 16–17) working on functions. It is pitched at level 2 · standard; an easier version and a harder version are linked above.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 15 minutes for 12 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Try Year 11 Function Notation, Composites and Inverses Worksheet — Level 3.
Preview
Success TutoringWorksheetsYear 11 · Mathematics · FunctionsYear 11 Function Notation, Composites and Inverses Worksheet — Level 2 — Practice Set 3
Name
Date
Score /
f(x) notation means "the value of the function at x". For a composite, substitute the inner function into the outer one. For an inverse, swap x and y and solve for y.
1.If f(x) = 2x2 − 4, find f(2).
2.If f(x) = −3x2 − 3x + 1, find f(−1).
3.If f(x) = x2 − 4x − 1, find f(0).
4.If f(x) = 2x2 + 5x + 1, find f(−4).
5.f(x) = 4x + 1 and g(x) = 2x. Find f(g(x)) in simplest form.
6.f(x) = −3x + 6 and g(x) = 4x + 1. Find g(f(x)) in simplest form.
7.If f(x) = 4x2 + x + 1, find f(−1).
8.f(x) = −x + 2 and g(x) = x − 3. Find f(g(x)) in simplest form.
9.If f(x) = 4x2 − 8, find f(5).
10.f(x) = 4x − 3 and g(x) = −x + 4. Find f(g(x)) in simplest form.
11.If f(x) = −2x2 + 3x − 1, find f(2).
12.If f(x) = −3x2 + 1, find f(−3).
Preview — the PDF contains the full resource and answer sheet.
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- Time
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Functions in other year levels
- Year 10 Function Notation, Composites and Inverses Worksheet — Level 1
Worksheet · Year 10 · Functions · Level 1 · Easier
- Year 10 Function Notation, Composites and Inverses Worksheet — Level 2
Worksheet · Year 10 · Functions · Level 2 · Standard
- Year 12 Function Notation, Composites and Inverses Worksheet — Level 1
Worksheet · Year 12 · Functions · Level 1 · Easier
- Year 12 Function Notation, Composites and Inverses Worksheet — Level 2
Worksheet · Year 12 · Functions · Level 2 · Standard
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
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