Math 112 Final Exam Study Aid Worksheet With Answer Key Page 27
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39Math 112
Final Exam Study Aid
27 of 39
2
ax
+ 3x + 7
93. Find the value of the parameter a so that the rational function g (x) =
x + 1
has the slant asymptote y = 2x + 1.
(A) 4
(B) 2
(C) 1
(D) 0
(E)
2
94. Which ONE of the following statements is true about the rational function
2
3x
x
g (x) =
?
2
3x
+ x
(A) The graph of g has a zero at x = 0.
(B) The graph of g has a vertical asymptote at x = 0.
(C) The graph of g has a hole at x = 0.
(D) The graph of g has a horizontal asymptote at y = 0.
(E) The graph of g has no horizontal asymptote.
2
2x
+ 1
95. Find all the asymptotes of the rational function y =
2x + 3
3
3
3
3
(A) x =
,
y = x
(B) x =
,
y = 1
(C) x =
,
y = x + 3
2
2
2
2
3
3
1
(D) x =
,
y = 1
(E) x =
,
y = x +
2
2
2
2x + 1
96. Determine the behavior of the function f (x) =
as x
.
1
18x
1
(A) y
(B) y
2
(C) y
0
(D) y
9
1
(E) y
18
97. The graph of a particular rational function has one vertical asymptote at x = 2, a
horizontal asymptote at y = 1, and passes through the point (4, 5). What is the
x-intercept?
(A) ( 6, 0)
(B) ( 7, 0)
(C) (2, 0)
(D) (1, 0)
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