Make Sense? During the winter, you program your home thermostat so that at midnight, the t...

Make Sense? During the winter, you program your home thermostat so that at midnight, the temperature is 55°. 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°. At 6 p.m. the house begins to cool. By 9 p.m., the temperature is again 55°. The graph illustrates home temperature, f(t), as a function of hours after midnight, t.

In Exercise, 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 change the heating schedule to start one hour earlier than before, so I reprogrammed the thermostat to y = f(t − 1)