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Cambridge IGCSE Additional Mathematics

4.4-4.5Cubic graphs and cubic inequalities

Cubic graphs and cubic inequalities in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic18 practice questions1 lesson
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Learning objectives

What the syllabus expects you to be able to do.

  1. 4.4Sketch cubic graphs given as a product of three linear factors, and their moduli.
  2. 4.5Solve cubic inequalities graphically.

Lessons

  • Cubic graphs and cubic inequalities

    30 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Cubic graphs and cubic inequalities: sample question

1 mark

How many times does the curve y=x(x−2)(x+5)y = x(x - 2)(x + 5) cross the xx-axis?

Only if the answer has a unit, e.g. cm or km/h.

Turn Cubic graphs and cubic inequalities into a strength.

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