| Exam Board | Edexcel |
|---|
| Module | C3 (Core Mathematics 3) |
|---|
| Year | 2014 |
|---|
| Session | January |
|---|
| Topic | Modulus function |
|---|
- Given that \(a\) and \(b\) are constants and that \(0 < a < b\),
- on separate diagrams, sketch the graph with equation
- \(y = | 2 x + a |\),
- \(y = | 2 x + a | - b\).
Show on each sketch the coordinates of each point at which the graph crosses or meets the axes. - Solve, for \(x\), the equation
$$| 2 x + a | - b = \frac { 1 } { 3 } x$$
giving any answers in terms of \(a\) and \(b\).