Identifying Limitations in Function Domains

00:00 3 marks

A function is used to model the production process of a factory, where the variable \(t\) represents time in hours. Given that negative time values are not meaningful in this real-world context, explain why the domain of the function must be restricted. Identify an appropriate domain for \(t\).

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Hint

Remember to consider the real-world meaning of time and that it cannot be negative.

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Answer Answer

Complete Answer

The domain of the function must be restricted to non-negative values, typically \([0, \infty)\), because negative time does not have any physical meaning in this context.

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