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 ∘ cooled than 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 ∘ cooled than 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 cooler than before, so I reprogram the thermostat at y=f(t)-5circ
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
∘
cooled than before, so I reprogrammed the thermostat to
y
=
f
(
t
)
−
5
.
5) For each function represented by an equation, make a table and plot the corresponding
points to sketch the graph of the function.
(a) y = 75 ()*
220
X
y
200-
-2
180
160
-1
140
0
120
100
1
60
80
2
3
4
x
(b) y = 20 ()*
1
60
40
20
20
0
2
3
65-
-1
X
y
60
-2
55-
50
45
44
40
0
35-
30
1
25
2
20
20
15
3
10
5
LO
4
3-2
T
-1
0
5-
4-
-3-
2-
A system of inequalities is shown.
y
5
3
2
1
X
-5
-4
-3
-2
-1
0
1
2
3
4
5
-1-
Which system is represented in the graph?
Oy>-x²-x+1
y 2x²+3
-2
-3
т
Which set of systems of equations represents the solution to the graph?
-5
-4
-3
-2
Of(x) = x² + 2x + 1
g(x) = x²+1
f(x) = x²+2x+1
g(x) = x²-1
f(x) = −x² + 2x + 1
g(x) = x²+1
f(x) = x² + 2x + 1
g(x) = x²-1
-1
5 y
4
3
2
1
0
-1-
-2
-3-
-4.
-5
1
2
3
4
5
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