Free Grade 3 What is Introducing Function Notation Essentials in Examinations Quizzes
Free Grade 3 quizzes for What is Introducing Function Notation Essentials in Examinations: 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
Core
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 essentials in examinations
Identify what is introducing function notation essentials in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain what is introducing function notation essentials in examinations
Explain what is introducing function notation essentials in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is introducing function notation essentials in examinations
Calculate what is introducing function notation essentials in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is introducing function notation essentials in examinations
Compare what is introducing function notation essentials in examinations 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 Essentials in Examinations 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) = 4x + 7. Find f(-2).[1]
- 2.f(x) = 4x + 6. Find f(-1).[1]
- 3.f(x) = 6x − 4. Find f(-2).[1]
- 4.f(x) = 5x − 7. Find f(-1).[1]
- 5.f(x) = 4x + 4. Find f(4).[2]
- 6.f(x) = 2x + 5. Find f(-4).[2]
- 7.f(x) = 6x − 7. Find f(-1).[2]
- 8.f(x) = 2x + 3. Find f(6).[2]
- 9.f(x) = 2x − 3. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 5x − 4. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 4x + 5. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 3x − 6. Find the inverse f⁻¹(x).[3]
Show answers and working
1. -1
Replace x with -2: 4 × (-2) + 7. = -1
2. 2
Replace x with -1: 4 × (-1) + 6. = 2
3. -16
Replace x with -2: 6 × (-2) − 4. = -16
4. -12
Replace x with -1: 5 × (-1) − 7. = -12
5. 20
Replace x with 4: 4 × 4 + 4. = 20
6. -3
Replace x with -4: 2 × (-4) + 5. = -3
7. -13
Replace x with -1: 6 × (-1) − 7. = -13
8. 15
Replace x with 6: 2 × 6 + 3. = 15
9. f⁻¹(x) = (x + 3) / 2
Write y = 2x − 3 and swap x and y. Rearrange for y: y = (x + 3) / 2.
10. f⁻¹(x) = (x + 4) / 5
Write y = 5x − 4 and swap x and y. Rearrange for y: y = (x + 4) / 5.
11. f⁻¹(x) = (x − 5) / 4
Write y = 4x + 5 and swap x and y. Rearrange for y: y = (x − 5) / 4.
12. f⁻¹(x) = (x + 6) / 3
Write y = 3x − 6 and swap x and y. Rearrange for y: y = (x + 6) / 3.
Worked examples
f(x) = 5x + 8. Find f(5).
- Replace x with 5: 5 × 5 + 8.
- = 33
- Answer: 33
f(x) = 2x − 7. Find f(5).
- Replace x with 5: 2 × 5 − 7.
- = 3
- Answer: 3
f(x) = 6x + 8. Find the inverse f⁻¹(x).
- Write y = 6x + 8 and swap x and y.
- Rearrange for y: y = (x − 8) / 6.
- Answer: f⁻¹(x) = (x − 8) / 6
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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- Move on to Introducing Function Notation Essentials in Examinations: Step-by-step Method, Introducing Function Notation Essentials in Examinations: Worked Examples, Introducing Function Notation Essentials in Examinations: Visual Models, Introducing Function Notation Essentials in Examinations: Common Mistakes, which build directly on this idea.
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