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1.3 Functions

1.3 Functions

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Question 94

The function f f\,f is defined by

f(x)=x2+2x+1f(x) = x^2 + 2x + 1f(x)=x2+2x+1, x∈Rx \in \mathbb{R}x∈R, x≥−1x \geq -1x≥−1

a.

Using set notation, state the range of fff.

[1]
b.

Find an expression for f−1(x)f^{-1}(x)f−1(x) and, using set notation, state its domain.

[3]
c.

Sketch the graphs of y=f(x)y = f(x)y=f(x) and y=f−1(x)y = f^{-1}(x)y=f−1(x) on the same diagram.

[2]
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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