Free Grade 3 Domain and Range in Context Flashcards
Free Grade 3 flashcards for Domain and Range in Context: 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 domain and range in context
Identify domain and range in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain domain and range in context
Explain domain and range in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate domain and range in context
Calculate domain and range in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare domain and range in context
Compare domain and range in context 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 Domain and Range in Context 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(6).[1]
- 2.f(x) = 3x + 0. Find f(1).[1]
- 3.f(x) = 2x − 7. Find f(2).[1]
- 4.f(x) = 5x + 2. Find f(-3).[1]
- 5.f(x) = 2x + 0. Find f(5).[2]
- 6.f(x) = 2x + 7. Find f(5).[2]
- 7.f(x) = 6x − 6. Find f(-3).[2]
- 8.f(x) = 2x + 2. Find f(-4).[2]
- 9.f(x) = 6x + 4. Find the inverse f⁻¹(x).[3]
- 10.f(x) = 4x + 0. Find the inverse f⁻¹(x).[3]
- 11.f(x) = 2x + 0. Find the inverse f⁻¹(x).[3]
- 12.f(x) = 5x + 6. Find the inverse f⁻¹(x).[3]
Show answers and working
1. 31
Replace x with 6: 4 × 6 + 7. = 31
2. 3
Replace x with 1: 3 × 1 + 0. = 3
3. -3
Replace x with 2: 2 × 2 − 7. = -3
4. -13
Replace x with -3: 5 × (-3) + 2. = -13
5. 10
Replace x with 5: 2 × 5 + 0. = 10
6. 17
Replace x with 5: 2 × 5 + 7. = 17
7. -24
Replace x with -3: 6 × (-3) − 6. = -24
8. -6
Replace x with -4: 2 × (-4) + 2. = -6
9. f⁻¹(x) = (x − 4) / 6
Write y = 6x + 4 and swap x and y. Rearrange for y: y = (x − 4) / 6.
10. f⁻¹(x) = (x − 0) / 4
Write y = 4x + 0 and swap x and y. Rearrange for y: y = (x − 0) / 4.
11. f⁻¹(x) = (x − 0) / 2
Write y = 2x + 0 and swap x and y. Rearrange for y: y = (x − 0) / 2.
12. f⁻¹(x) = (x − 6) / 5
Write y = 5x + 6 and swap x and y. Rearrange for y: y = (x − 6) / 5.
Worked examples
f(x) = 3x − 6. Find f(-4).
- Replace x with -4: 3 × (-4) − 6.
- = -18
- Answer: -18
f(x) = 2x − 3. Find f(5).
- Replace x with 5: 2 × 5 − 3.
- = 7
- Answer: 7
f(x) = 2x − 6. Find the inverse f⁻¹(x).
- Write y = 2x − 6 and swap x and y.
- Rearrange for y: y = (x + 6) / 2.
- Answer: f⁻¹(x) = (x + 6) / 2
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
How mastery is evidenced, and which standards it maps to.
Every free resource for Domain and Range in Context
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Frequently asked
- Is this Grade 3 Domain and Range in Context flashcards really free?
- Yes. Every flashcards on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Domain and Range, Introducing Domain and Range, Function Notation. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Domain and Range in Context?
- Move on to Function Notation, Composite Functions, Inverse Functions, which build directly on this idea.
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