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1.3 Functions

1.3 Functions

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Question 133

Four different mathematical models for signal processing are defined for the domain x∈Rx \in \mathbb{R}x∈R.

Which of these functions does not have an inverse function?

f(x)=12.4−0.6xf(x) = 12.4 - 0.6xf(x)=12.4−0.6x

g(x)=x3−6x2+12x+5g(x) = x^3 - 6x^2 + 12x + 5g(x)=x3−6x2+12x+5

h(x)=4sin⁡(2x)−3h(x) = 4 \sin(2x) - 3h(x)=4sin(2x)−3

k(x)=10(1.5)xk(x) = 10(1.5)^xk(x)=10(1.5)x

[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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