Home Temperature as a Function of Time y 70° 65° 60° y = fl9 55° 50° 9 12 15 18 21 24 Hours after Midnight Temperature (°F) 3.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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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 (as attached herewith) illustrates home temperature, f(t), as a function of hours after midnight, t. 

Using the given graph determine whether the below given 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 later than before, so I reprogrammed the thermostat to y = f(t + 1)."

Home Temperature
as a Function of Time
y
70°
65°
60°
y = fl9
55°
50°
9
12
15
18
21
24
Hours after Midnight
Temperature (°F)
3.
Transcribed Image Text:Home Temperature as a Function of Time y 70° 65° 60° y = fl9 55° 50° 9 12 15 18 21 24 Hours after Midnight Temperature (°F) 3.
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