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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-if-b-5

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Concepts

The function $T(t) = 25 - 3t$ gives temperature in °C at time $t$
hours. At $t = 10$ , the output is $T(10) = -5$ °C.
Is $t = 10$ in the domain of $T$ ?

No — the output is negative, so $t = 10$ is not a valid input

Yes — the formula produces a defined real-number output at $t = 10$

No — time cannot be 10 because the temperature goes below zero

It depends on whether the temperature scale allows negative values