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Functions and Graphs

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Question 78

The function f f\,f is defined by f(x)=x2−4xf(x) = x^2 - 4xf(x)=x2−4x where x∈Rx \in \mathbb{R}x∈R and 0≤x≤50 \leq x \leq 50≤x≤5

a.

Find the range of fff.

[3]
b.

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

[2]
Markscheme

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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