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Functions and Graphs

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Question 76

A curve on x- and y-axes rises from the lower left to a maximum labelled A (-3, 6), falls to a minimum labelled B (3, -2), then rises to the upper right.

The curve has a maximum point A (−3,6)(-3, 6)(−3,6) and a minimum point B (3,−2)(3, -2)(3,−2). Showing the coordinates of any stationary points, on separate diagrams sketch the graphs of

a.

y=4f(6x)y = 4f(6x)y=4f(6x)

[3]
b.

y=f(∣x∣)y = f(|x|)y=f(∣x∣)

[3]
c.

Write down the constants a a\,a and b b\,b such that the curve with equation y=f(x+a)+by = f(x + a) + by=f(x+a)+b has a minimum point at the origin OOO.

[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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