Unit 7, General Assessment, Spiral with Answers
Blackline Masters, Advanced Math – PreCalculus
Page 240
Louisiana Comprehensive Curriculum, Revised 2008
1. Find the vertical and horizontal asymptotes for
f
(
x
) =
24
34
2
2
x
x
x
−
−−
.
The vertical asymptotes are x = 4 and x = 1. The horizontal asymptote is y = 2.
2. Describe the endbehavior of each of the following functions”
a)
g x
x
()
=
−
3
, as
x
y
→+∞ → +∞
,
and as
x
y
→ −
∞→
−∞
,
b)
fx
x
=−
4
3
, as
xy
→ +
−
∞
→
∞
,
and as x
 ,y
+
c)
hx
x
x
=
−
+
21
,
there is a horizontal asymptote
y
=
3
2
d)
gx
x
=
−
53
bg
This exponential function is decreasing and uses the positive x
axis as a horizontal asymptote so
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 Fall '08
 GERMAN
 Calculus, PreCalculus, Asymptotes, Mathematical analysis, horizontal asymptote

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