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Functions and Graphs

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Question 111
a.

The graph of y=a−∣bx+c∣y = a - |bx + c|y=a−∣bx+c∣ is shown, where a>0 a>0\,a>0 and b>0b>0b>0.

Coordinate axes showing an inverted V-shaped graph with its maximum above the x-axis.

Find the equation of the graph in the form y=a−∣bx+c∣y = a - |bx + c|y=a−∣bx+c∣.

[3]
b.

Solve the inequality 2−∣2x+1∣>02 - |2x + 1| > 02−∣2x+1∣>0

[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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