Question

the function t= 19m + 65 represents the temp (t) of an oven preheating for minutes (m)
a recipe calls for an oven temperature of 350. describe the domain and range of the function?

Answer 1

First note m is time in minutes so m ≥ 0.

If you stop preheating once the oven reaches the recipe temperature 350:
- Solve 19m + 65 = 350 → 19m = 285 → m = 15.
- Domain: 0 ≤ m ≤ 15 (minutes).
- Range: 65 ≤ t ≤ 350 (degrees).

If the model is considered for all preheating time (oven keeps heating), then domain m ≥ 0 and range t ≥ 65.