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3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

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Question 29

Figure 1 below shows a sketch of y=∣3x−2∣y = |3x - 2|y=∣3x−2∣.

Figure for question 4

a.

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

[1]
b(i).

The line l l\,l has equation y=ax+1y = ax + 1y=ax+1, where a a\,a is a constant. The graphs of y=∣3x−2∣y = |3x - 2|y=∣3x−2∣ and y=ax+1y = ax + 1y=ax+1 have two distinct points of intersection.

Determine

the set of possible values of aaa,

[4]
b(ii).

the xxx-coordinates of the two points of intersection, giving your answers in terms of aaa.

[2]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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