Edexcel AEA 2014 June — Question 3

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2014
SessionJune
TopicModulus function

3.(a)On separate diagrams sketch the curves with the following equations.On each sketch you should mark the coordinates of the points where the curve crosses the coordinate axes.
(i)\(y = x ^ { 2 } - 2 x - 3\)
(ii)\(y = x ^ { 2 } - 2 | x | - 3\)
(iii)\(y = x ^ { 2 } - x - | x | - 3\)
(b)Solve the equation $$x ^ { 2 } - x - | x | - 3 = x + | x |$$