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Functions and Graphs

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Question 83

Figure 1 shows a coordinate-axis sketch of the graph y = |2x − 2|, with the axes labelled x and y and the origin labelled O.

The graph shows a sketch of y=∣2x−2∣y=|2x-2|y=∣2x−2∣

a.

State the coordinates of the points of intersection with the axes.

[2]
b.

Given that the graphs of y=∣2x−2∣y=|2x-2|y=∣2x−2∣ and y=ax+1y=ax+1y=ax+1 have two distinct points of intersection, determine

(i) the set of possible values of aaa,

(ii) the x x\,x coordinates of the points of intersection of these graphs, giving your answers in terms of aaa.

[7]
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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