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1.3 Functions

1.3 Functions

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Question 13

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

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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