| Exam Board | Edexcel |
| Module | C3 (Core Mathematics 3) |
| Topic | Modulus function |
3. (a) Sketch the graph of \(y = | 2 x + a | , a > 0\), showing the coordinates of the points where the graph meets the coordinate axes.
(b) On the same axes, sketch the graph of \(y = \frac { 1 } { x }\).
(c) Explain how your graphs show that there is only one solution of the equation
$$x | 2 x + a | - 1 = 0$$
(d) Find, using algebra, the value of \(x\) for which \(x | 2 x + 1 | - 1 = 0\).