Rational Functions and Zeros
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
What is the horizontal asymptote of
f
(
x
)
=
7
x
2
x
+
3
f(x) = \frac{7x}{2x + 3}
f
(
x
)
=
2
x
+
3
7
x
?
QUESTION
What is the slant asymptote of
f
(
x
)
=
x
2
+
1
x
f(x) = \frac{x^2 + 1}{x}
f
(
x
)
=
x
x
2
+
1
?
QUESTION
Identify a removable discontinuity in
f
(
x
)
=
x
2
−
1
x
−
1
f(x) = \frac{x^2 - 1}{x - 1}
f
(
x
)
=
x
−
1
x
2
−
1
.
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ANSWER
Removable discontinuity at
x
=
1
x = 1
x
=
1
. The factor
(
x
−
1
)
(x-1)
(
x
−
1
)
cancels from numerator and denominator.
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