| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2022 |
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| Session | October |
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| Topic | Modulus function |
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8. Given that \(k\) is a positive constant,
a) sketch the graph with equation
$$y = 2 | x | - k$$
Show on your sketch the coordinates of each point at which the graph crosses the \(x\)-axis and the \(y\)-axis
b) find, in terms of \(k\), the values of \(x\) for which
$$2 | x | - k = \frac { 1 } { 2 } x + \frac { 1 } { 4 } k$$
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