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1.3 Functions

1.3 Functions

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Question 54

Given that kkk is a positive constant,

a.

on separate diagrams, sketch the graph with equation

(i) y=k−3∣x∣y = k - 3|x|y=k−3∣x∣

(ii) y=∣3x−k2∣y = \left| 3x - \frac{k}{2} \right|y=​3x−2k​​

Show on each sketch the coordinates, in terms of kkk, of each point where the graph meets or cuts the axes.

[4]
b.

Hence find, in terms of kkk, the values of xxx for which

∣3x−k2∣=k−3∣x∣ \left| 3x - \frac{k}{2} \right| = k - 3|x| ​3x−2k​​=k−3∣x∣

giving your answers in simplest form.

[4]
Markscheme

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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