Year 10 Function Notation, Composites and Inverses Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 functions worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · FunctionsYear 10 Function Notation, Composites and Inverses Worksheet — Level 1 — Answers
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 − x, find f(0).
Answer: 0
- Replace x with 0: 2(0)2 − (0)
- = 0
2.If f(x) = −x − 7, find f(2).
Answer: −9
- Replace x with 2: −(2) − 7
- = −9
3.If f(x) = 2x2 + 5x − 6, find f(−3).
Answer: −3
- Replace x with −3: 2(−3)2 + 5(−3) − 6
- = −3
4.If f(x) = −5x − 1, find f(−1).
Answer: 4
- Replace x with −1: −5(−1) − 1
- = 4
5.If f(x) = 2x − 1, find f(−2).
Answer: −5
- Replace x with −2: 2(−2) − 1
- = −5
6.If f(x) = 5x + 1, find f(−3).
Answer: −14
- Replace x with −3: 5(−3) + 1
- = −14
7.If f(x) = 4x2 − 2x − 1, find f(2).
Answer: 11
- Replace x with 2: 4(2)2 − 2(2) − 1
- = 11
8.If f(x) = 2x − 5, find f(1).
Answer: −3
- Replace x with 1: 2(1) − 5
- = −3
9.If f(x) = −3x2 − 3x − 9, find f(4).
Answer: −69
- Replace x with 4: −3(4)2 − 3(4) − 9
- = −69
10.If f(x) = 3x2 − 2x − 6, find f(2).
Answer: 2
- Replace x with 2: 3(2)2 − 2(2) − 6
- = 2
11.If f(x) = −3x2 − 4x − 4, find f(−1).
Answer: −3
- Replace x with −1: −3(−1)2 − 4(−1) − 4
- = −3
12.If f(x) = 5x − 7, find f(−2).
Answer: −17
- Replace x with −2: 5(−2) − 7
- = −17
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
Great work. Here's what to try next: