Graph Rational Functions and Identify Asymptotes
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Identify the vertical asymptote(s) of
f
(
x
)
=
x
2
−
9
x
2
−
4
x
+
4
f(x)=\frac{x^2-9}{x^2-4x+4}
f
(
x
)
=
x
2
−
4
x
+
4
x
2
−
9
.
QUESTION
What is the slant asymptote of
f
(
x
)
=
x
2
−
4
x
−
2
f(x)=\frac{x^2-4}{x-2}
f
(
x
)
=
x
−
2
x
2
−
4
?
QUESTION
Identify the simplified function for
f
(
x
)
=
x
2
−
1
x
−
1
f(x)=\frac{x^2-1}{x-1}
f
(
x
)
=
x
−
1
x
2
−
1
for
x
≠
1
x\neq 1
x
=
1
.
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ANSWER
f
(
x
)
=
x
+
1
f(x)=x+1
f
(
x
)
=
x
+
1
for
x
≠
1
x\neq 1
x
=
1
. After canceling
(
x
−
1
)
(x-1)
(
x
−
1
)
:
x
2
−
1
x
−
1
=
x
+
1
\frac{x^2-1}{x-1}=x+1
x
−
1
x
2
−
1
=
x
+
1
.
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