3 The diagram shows the curve \(y = \mathrm { f } ( x )\), where \(\mathrm { f } ( x )\) is a cubic polynomial in \(x\). This diagram is repeated in the Printed Answer Booklet.
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- State the values of \(x\) for which \(\mathrm { f } ( x ) < \frac { 1 } { 2 }\), giving your answer in set notation.
- On the diagram in the Printed Answer Booklet, draw the graph of \(y = \mathrm { f } ( - x )\).
- Explain how you can tell that \(\mathrm { f } ( x )\) cannot be expressed as the product of three real linear factors.