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Functions and Graphs

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Question 111
a.

Solve the equations x−4=2x−2x - 4 = 2x - 2x−4=2x−2 and x−4=−(2x−2)x - 4 = -(2x - 2)x−4=−(2x−2)

[2]
b.

Hence solve the inequality ∣x−4∣≤∣2x−2∣|x - 4| \leq |2x - 2|∣x−4∣≤∣2x−2∣

[2]
c.

Give full details of a sequence of two transformations needed to transform the graph of y=∣x−4∣y = |x - 4|y=∣x−4∣ onto the graph of y=∣2x−2∣y = |2x - 2|y=∣2x−2∣

[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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