a. The owner of the apartment decides to change to a new schedule and they set the thermostat to change 3 hours later in the morning and the evening. On the same axes, sketch a graph of the new function, G, giving the temperature as a function of time. If you are unable to paste a graph or draw one on the document you may also describe the change in the graph using words and support your answer by giving 3 coordinate pairs on the new graph. b. Explain what H(6.5) = 65 means in this context. Why is this a reasonable value for the function? c. If H (6.5) = 65, then what is the corresponding point on the graph of G? Use function notation to describe the point on the graph of G. d. Write an expression for G in terms of H.
a. The owner of the apartment decides to change to a new schedule and they set the thermostat to change 3 hours later in the morning and the evening. On the same axes, sketch a graph of the new function, G, giving the temperature as a function of time. If you are unable to paste a graph or draw one on the document you may also describe the change in the graph using words and support your answer by giving 3 coordinate pairs on the new graph. b. Explain what H(6.5) = 65 means in this context. Why is this a reasonable value for the function? c. If H (6.5) = 65, then what is the corresponding point on the graph of G? Use function notation to describe the point on the graph of G. d. Write an expression for G in terms of H.
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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Transcribed Image Text:a. The owner of the apartment decides to change to a new schedule and they set
the thermostat to change 3 hours later in the morning and the evening. On the
same axes, sketch a graph of the new function, G, giving the temperature as a
function of time. If you are unable to paste a graph or draw one on the
document you may also describe the change in the graph using words and
support your answer by giving 3 coordinate pairs on the new graph.
b. Explain what H(6.5)= 65 means in this context. Why is this a reasonable
value for the function?
c. If H(6.5) = 65 , then what is the corresponding point on the graph of G ?
Use function notation to describe the point on the graph of G.
d. Write an expression for G in terms of H.
Transcribed Image Text:The thermostat in an empty apartment is set to 65° F from 4:00 a.m. to 5:00 p.m. and to 50° F
from 5:00 p.m. until 4:00 a.m. Here is a graph of the function H that gives the temperature
H(x) in degrees Fahrenheit in the apartment r hours after midnight.
yf
80
75
70
y = H(x)
65
60
55
50
45
2
4
6
8
10
12 14 16
18
22 X
20
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