During the winter, you program your home thermostat so that at midnight, thf!

Chapter 2, Problem 137

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During the winter, you program your home thermostat so that at midnight, thf! temperature is 55. 1J1is temperalltre is maitllained uflli/6 A .. lf. Then the house begins to wann up so that by 9 A.M. the temperature is 65. At6 P.M. the house begins to cool. By 9 P.M., the temperature is again 55. The graph ilfustrates home temperature, f(t), as a function of hours after midnight, 1. .. 7()> 65 6()> s~ 50' 0 3 Home Temperature as a Function of Time y - f [t) 6 9 12 IS 18 21 24 Hours after Midnight In Exercises J 37-140, determine whether each stateme/11 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 ftmcti.on in the statement and graph the corrected ftmction on the domain (0,24]. I decided to keep the house 5c warmer than before, so [ reprogrammed the thermostat toy - f(t) + 5.