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4024/22 Oct/Nov 2025, Question 17: Recognising and Sketching Graph Shapes

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 4 marks

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The question, in short

Sketch two graphs on blank axes, marking where each curve crosses the y-axis: y = x³ − 3 and y = 3ˣ.

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

Part (a) · 2 marks

Sketch y = x³ − 3 and state the y-axis intercept value.

  1. 1Positive cubic shape (rises, flattens at x = 0, rises again): the graph of y = x³ moved down 3
  2. 2Mark the y-intercept at (0, −3)

AnswerCorrect sketch with −3 or (0, −3) indicated

Part (b) · 2 marks

Sketch y = 3ˣ and state the y-axis intercept value.

  1. 1Exponential growth curve: close to the x-axis on the left (never touching it), rising steeply on the right
  2. 2Mark the y-intercept at (0, 1), since 3⁰ = 1

AnswerCorrect sketch with 1 or (0, 1) indicated

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Also searched as: 4024/22/O/N/25 · 4024_w25_qp_22 · 4024 w25 22 · question 17.
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