Rational Functions
Part A.
Carefully sketch the complete graph of each of the following rational
functions.
For each function, clearly label (a) the equations of the vertical and
horizontal aysmptotes and (b) the x- and the y-intercept(s).
(1)
f
(
x
)
2
x
1
x
2
(2)
g
(
x
)
x
x
2
4
(3)
h
(
x
)
x
2
x
2
4
(4)
f
(
x
)
2
x
2
5
x
2
x
2
x
2
(5)
p
(
x
)
x
5
x
2
4
(6)
f
(
x
)
x
2
2
x
2
1
For (1), (2), and (6), what is the domain and range of the function?
For (3), where is the function increasing?
Where is it decreasing?
Do any of these functions have local maximums or minimums?
If so, which ones
and where?
Part B
.
Without
using your graphing calculator, match each of the following graphs (A-

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