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Functions and Graphs

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Question 79
a.

The graph with equation

y=∣2x−a∣ y = |2x - a| y=∣2x−a∣

meets the coordinate axes at (1.5,0)(1.5, 0)(1.5,0) and (0,3)(0, 3)(0,3).

Sketch the graph, stating the value of aaa.

[2]
b.

The values of x x\,x which satisfy ∣2x−3∣<a|2x - 3| < a∣2x−3∣<a are −3<x<6-3 < x < 6−3<x<6.

Find the value of aaa.

[2]
c.

The values of x x\,x which satisfy ∣2x−3∣<x+a|2x - 3| < x + a∣2x−3∣<x+a are 23<x<4\displaystyle \frac{2}{3} < x < 432​<x<4.

Find the value of aaa.

[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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