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1.3 Functions

1.3 Functions

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Question 146

Figure 1 below shows a sketch of y=g(x)y = g(x)y=g(x), where

g(x)={5−3xx<1(x−1)2+2x≥1g(x) = \begin{cases} 5 - 3x & x < 1 \\ (x - 1)^2 + 2 & x \geq 1 \end{cases}g(x)={5−3x(x−1)2+2​x<1x≥1​

Figure for question 8

a.

Find the value of gg(0)gg(0)gg(0).

[2]
b.

Using set notation, find all the values of x x\,x for which g(x)>18g(x) > 18g(x)>18.

[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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