Reciprocal graph value
- Do not use x = 0.
- Substitute the x-value.
- Plot the points on both sides of the asymptote.
Answer: For y = 4/x and x = -2, y = -2
๐ฅ Algebra
Reciprocal graphs
Learn reciprocal graphs with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Reciprocal graphs is part of graphs and appears often in KS3โGCSE maths.
- Reciprocal graphs have asymptotes and x cannot be zero.
- Use the worked model, help guide, interactive question and flashcards to practise reciprocal graphs until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Reciprocal graphs learning map
Understand the key idea โ follow the help guide โ practise a question โ check your method โ build speed with flashcards.
3. Help guide
How to tackle Reciprocal graphs
- Learn the rule: Reciprocal graphs have asymptotes and x cannot be zero.
- Worked model: Do not use x = 0. Substitute the x-value. Plot the points on both sides of the asymptote.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
For y = 6/x, what is y when x = 2?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Reciprocal graphs
BackReciprocal graphs have asymptotes and x cannot be zero.
FrontExample answer: For y = 6/x, what is y when x = 2?
Backy = 6 รท 2 = 3.
FrontCommon check for Reciprocal graphs
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.