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Grade 9·12 problems·~14 min·Common Core Math - HS Functions·group·hsf-if-b-4

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Concepts

The temperature $T(t)$ in degrees Fahrenheit on a winter night is decreasing
from $t = 6$ pm to $t = 2$ am, but $T(t) > 0$ throughout that interval.

Which statement is correct?

The function cannot be decreasing if it is positive — a positive function
must be increasing.

The function is decreasing (output is getting smaller) and positive (output
is above zero) at the same time; these are independent features.

"Decreasing" means the output is negative, so the temperature must be
below $0°\text{F}$.

The function is negative because it is decreasing.