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1.2 Algebra and Functions

1.2 Algebra and Functions

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Question 4

The diagram shows the curve C C\,C with equation y=x2−4x+3y = x^2 - 4x + 3y=x2−4x+3 and the line l l\,l with equation y=2x−2y = 2x - 2y=2x−2.

Figure for question 8

a.

On the diagram, shade and label the region R R\,R that is satisfied by the inequalities y⩾x2−4x+3y \geqslant x^2 - 4x + 3y⩾x2−4x+3 and y⩽2x−2y \leqslant 2x - 2y⩽2x−2

[2]
b.

Find the coordinates of the two points where C C\,C and l l\,l intersect.

[3]
c.

Determine whether the point (2,1)(2, 1)(2,1) lies in RRR, fully justifying your answer.

[2]
Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank