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Functions and Graphs

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Question 165

A graph of y = 2f(x) − 1 has a local minimum at A (3, −9) and a local maximum at B (7, 9).

The points A (3,−9)(3, -9)(3,−9) and B (7,9)(7, 9)(7,9) are the turning points of the graph y=2f(x)−1y = 2f(x) - 1y=2f(x)−1. On separate diagrams sketch the graphs of

a.

y=f(x)y = f(x)y=f(x)

[3]
b.

y=∣f(x)∣y = |f(x)|y=∣f(x)∣

[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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