Rational Functions and Vertical Asymptotes
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
State the vertical asymptote of
f
(
x
)
=
5
x
2
−
6
x
+
9
f(x) = \frac{5}{x^2 - 6x + 9}
f
(
x
)
=
x
2
−
6
x
+
9
5
.
QUESTION
Determine the vertical asymptote for
f
(
x
)
=
x
x
2
+
4
x
+
4
f(x) = \frac{x}{x^2 + 4x + 4}
f
(
x
)
=
x
2
+
4
x
+
4
x
.
QUESTION
Identify the vertical asymptote of
f
(
x
)
=
1
x
−
3
f(x) = \frac{1}{x - 3}
f
(
x
)
=
x
−
3
1
.
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ANSWER
Vertical asymptote at
x
=
3
x = 3
x
=
3
. Set denominator
x
−
3
=
0
x - 3 = 0
x
−
3
=
0
to find where function is undefined.
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