Skip to content

Course home

Sign up

1.2 Algebra and Functions

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114
Question 89

The diagram shows the curve C C\,C with equation y=4+3x−x2y = 4 + 3x - x^2y=4+3x−x2 and the line l l\,l with equation y=x+1y = x + 1y=x+1.

Figure for question 8

a.

On the diagram, shade and label the region R R\,R that is satisfied by the inequalities 0⩽y⩽4+3x−x20 \leqslant y \leqslant 4 + 3x - x^20⩽y⩽4+3x−x2 and y⩾x+1y \geqslant x + 1y⩾x+1

[2]
b.

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

[3]
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