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