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Chapter 5 – Group Assignment Questions
1.
Analyze the key features of the function
1
)
(
−
=
x
x
x
f
.
How does it compare to the
graph of
1
)
(
−
=
x
x
x
g
?
2.
Let
n
x
x
f
+
=
)
(
and
n
x
x
g
+
=
1
)
(
, where
n
is a constant.
Analyze the key features of
)
(
x
g
.
At what point would the two graphs
)
(
x
f
and
)
(
x
g
intersect?
3.
Analyze the similarities and differences in the graphs of
1
8
)
(
+
=
nx
x
x
f
for
8
,
4
,
2
,
1
=
n
.
Make a conjecture about how the function changes as the values of
∞
→
n
.
If
n
is negative,
how does the function change as
−∞
→
n
?
4.
Analyze the key features of the function
1
2
)
(
+
=
x
x
f
.
How does it compare to the graph
of
1
2
)
(
+
=
x
x
g
?
5.
As blood moves from the heart through the major arteries out to the capillaries and back
through the veins, the systolic pressure continuously drops.
The pressure is given by the
function
1
125
25
)
(
2
2
+
+
=
t
t
t
P
, where
P
is measured in millimeters of mercury and
t
is measured
in seconds.
Sketch the graph of the function.
Then, determine the average rate of change of
the blood pressure between each second for
10
0
<
<
t
.
What does this tell you?
6.
The average cost per year in electricity for a widescreen TV is approximately $18.
The
price of a new widescreen TV is $1299.
Develop a function,
)
(
t
C
that gives the annual cost
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 Spring '11
 sda

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