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Functions and Graphs

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Question 24
a.

Sketch the graph with equation

y=∣x−2∣ y = |x - 2| y=∣x−2∣

stating the coordinates where the graph meets the coordinate axis.

[2]
b.

Find the values of x x\,x which satisfy ∣x−2∣<4|x - 2| < 4∣x−2∣<4

[2]
c.

Find the values of x x\,x which satisfy ∣x−2∣<x2+1\displaystyle |x - 2| < \frac{x}{2} + 1∣x−2∣<2x​+1

[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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