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 (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 ∘ warmer that before, so I reprogrammed the thermostat to y = f ( t ) + 5 .
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 (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 ∘ warmer that before, so I reprogrammed the thermostat to y = f ( t ) + 5 .
Solution Summary: The author analyzes whether the statement "I decided to keep my home 5 degree warmer than before, so I reprogram the thermostat at y=f(t)+5°" makes
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 (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
∘
warmer that before, so I reprogrammed the thermostat to
y
=
f
(
t
)
+
5
.
The gas mileage of a car (in miles per gallon) is highest when the car is going about 45 miles per hour and is lower when the car is going faster or slower than 45 mph. Graph gas mileage as a function of speed of the car.
Sketch the graph of the function. y = −ex−1
Determine the equation of the function depicted by the following graph.
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