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Functions and Graphs

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Question 109

Sketch the graph of y=∣x∣+ky = |x| + ky=∣x∣+k, where k k\,k is a positive constant.

Explain why ∣x∣+k≥∣x+k∣|x| + k \geq |x + k|∣x∣+k≥∣x+k∣ for all real values of xxx.

[3]
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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