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1.3 Functions

1.3 Functions

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Question 4

The functions f f\,f and g g\,g are defined for all real values of x x\,x by

f(x)=2x2−3xf(x) = 2x^2 - 3xf(x)=2x2−3x and g(x)=4x+4g(x) = 4x + 4g(x)=4x+4

a.

Using set notation, find the range of fff.

[2]
b.

Determine whether f f\,f has an inverse. Fully justify your answer.

[2]
c.

Determine the set of values of x x\,x for which f(x)>g(x)f(x) > g(x)f(x)>g(x). Give your answer in set notation.

[3]
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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