Chapter 2.5, Problem 138E

Make Sense? During the winter, you program your home thermostat so that at midnight, the temperature is ${55}^{\circ }$

. This temperature is maintained until 6 a.m. Then the house begins to warm up so that by 9 a.m. the temperature is ${65}^{\circ }$

. At 6 p.m. the house begins to cool. By 9 p.m. the temperature is again ${55}^{\circ }$

. The graph illustrates home temperature, f (l), as a function of house after midnight, t.

In Exercises 137-140, determine whether each statement makes sense or does not make sense, and explain your reasoning. If the statement makes sense, graph the new function on the domain (0.24). If the statement does not make sense, correct the function in the statement and graph the corrected function on the domain (0.24).

I decided to keep the house $5^{\circ }$ cooled than before, so I reprogrammed the thermostat to $y=f(t)-5$.