College Algebra Quiz
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RATIONAL EXPRESSIONS & FUNCTIONS
Question 1
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For the rational function
f
(
x
)
=
(
x
−
1
)
2
(
x
+
2
)
(
x
−
3
)
(
x
+
2
)
2
f(x) = \frac{(x-1)^2(x+2)}{(x-3)(x+2)^2}
f
(
x
)
=
(
x
−
3
)
(
x
+
2
)
2
(
x
−
1
)
2
(
x
+
2
)
, what are the vertical asymptotes and holes?
A
Vertical asymptote at
x
=
3
x = 3
x
=
3
; hole at
x
=
−
2
x = -2
x
=
−
2
B
Vertical asymptotes at
x
=
3
x = 3
x
=
3
and
x
=
−
2
x = -2
x
=
−
2
; no holes
C
Vertical asymptote at
x
=
−
2
x = -2
x
=
−
2
; hole at
x
=
3
x = 3
x
=
3
D
Vertical asymptote at
x
=
3
x = 3
x
=
3
; vertical asymptote at
x
=
−
2
x = -2
x
=
−
2
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