Free Grade 3 What is Introducing Function Notation Techniques in Examinations — Recognition Worksheets
Free Grade 3 worksheets for What is Introducing Function Notation Techniques in Examinations — Recognition: 12 real questions with a full answer key and worked solutions. A function is a rule that turns an input into an output. The inverse function reverses it.
Free
Foundation
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify what is introducing function notation techniques in examinations — recognition
Identify what is introducing function notation techniques in examinations — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain what is introducing function notation techniques in examinations — recognition
Explain what is introducing function notation techniques in examinations — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is introducing function notation techniques in examinations — recognition
Calculate what is introducing function notation techniques in examinations — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is introducing function notation techniques in examinations — recognition
Compare what is introducing function notation techniques in examinations — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How What is Introducing Function Notation Techniques in Examinations — Recognition works
A function is a rule that turns an input into an output. The inverse function reverses it.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.f(x) = 3x − 7. Find f(-3).[1]
- 2.f(x) = 5x + 0. Find f(-1).[1]
- 3.f(x) = 2x − 6. Find f(-2).[1]
- 4.f(x) = 3x − 6. Find f(4).[1]
- 5.f(x) = 3x + 7. Find f(-4).[2]
- 6.f(x) = 2x − 2. Find f(6).[2]
- 7.f(x) = 3x + 0. Find f(3).[2]
- 8.f(x) = 3x + 5. Find f(6).[2]
- 9.f(x) = 3x + 0. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 2x − 2. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 2x + 5. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 2x − 6. Find the inverse f⁻¹(x).[3]
Show answers and working
1. -16
Replace x with -3: 3 × (-3) − 7. = -16
2. -5
Replace x with -1: 5 × (-1) + 0. = -5
3. -10
Replace x with -2: 2 × (-2) − 6. = -10
4. 6
Replace x with 4: 3 × 4 − 6. = 6
5. -5
Replace x with -4: 3 × (-4) + 7. = -5
6. 10
Replace x with 6: 2 × 6 − 2. = 10
7. 9
Replace x with 3: 3 × 3 + 0. = 9
8. 23
Replace x with 6: 3 × 6 + 5. = 23
9. f⁻¹(x) = (x − 0) / 3
Write y = 3x + 0 and swap x and y. Rearrange for y: y = (x − 0) / 3.
10. f⁻¹(x) = (x + 2) / 2
Write y = 2x − 2 and swap x and y. Rearrange for y: y = (x + 2) / 2.
11. f⁻¹(x) = (x − 5) / 2
Write y = 2x + 5 and swap x and y. Rearrange for y: y = (x − 5) / 2.
12. f⁻¹(x) = (x + 6) / 2
Write y = 2x − 6 and swap x and y. Rearrange for y: y = (x + 6) / 2.
Worked examples
f(x) = 5x − 2. Find f(-1).
- Replace x with -1: 5 × (-1) − 2.
- = -7
- Answer: -7
f(x) = 5x − 6. Find f(-3).
- Replace x with -3: 5 × (-3) − 6.
- = -21
- Answer: -21
f(x) = 5x + 0. Find the inverse f⁻¹(x).
- Write y = 5x + 0 and swap x and y.
- Rearrange for y: y = (x − 0) / 5.
- Answer: f⁻¹(x) = (x − 0) / 5
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Reads f(3) as f × 3.
Correction: f(3) means 'put 3 into the rule'.
Reverses operations in the wrong order for the inverse.
Correction: Undo the last step first.
Teacher tips
- · Use function machines before notation.
Parent tips
- · Play 'guess my rule' with numbers.
Real-life applications
- · Converting temperatures, phone-plan costs.
Assessment objectives
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- Start with Working with Introducing Function Notation Techniques. Each one has its own free lesson, worksheet and quiz.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
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- Move on to What is Introducing Function Notation Techniques in Examinations — Understanding, What is Introducing Function Notation Techniques in Examinations — Application, What is Introducing Function Notation Techniques in Examinations — Reasoning, What is Introducing Function Notation Techniques in Examinations — Mastery, which build directly on this idea.
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