Lemmara logoLemmaraWorked solution

0580/11 Oct/Nov 2025, Question 16: Recognising and Sketching Graph Shapes

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 6 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Complete a table of values for y = 9/x and draw the graph of y = 9/x on the grid for −4.5 ≤ x ≤ −1 and 1 ≤ x ≤ 4.5.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Fill in the two missing y values in the table for y = 9/x at x = −2 and x = 3.

  1. 1x = −2: y = 9/(−2) = −4.5
  2. 2x = 3: y = 9/3 = 3

Answer| x | −2 | 3 | | y | −4.5 | 3 |

Part (b) · 4 marks

Plot and draw the curve y = 9/x on the grid over the two given intervals of x.

  1. 1Plot (−4.5, −2), (−3, −3), (−2, −4.5), (−1.5, −6), (−1, −9) and join with a smooth curve
  2. 2Plot (1, 9), (1.5, 6), (2, 4.5), (3, 3), (4.5, 2) and join with a separate smooth curve
  3. 3Do not join the two branches across x = 0

AnswerCorrect graph drawn

Stuck on a step? Read the free lesson: Recognising and Sketching Graph Shapes

Practise more recognising and sketching graph shapes questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on recognising and sketching graph shapes

Also searched as: 0580/11/O/N/25 · 0580_w25_qp_11 · 0580 w25 11 · question 16.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.