Math 110
Final Exam
All Sections including SL Center
April 16, 18–21, 2011
Do not write on this exam.
1. What is the range of the function defined by the equation
y
= 2
x
2
+ 4
x
?
(a) [

4
,
∞
)
(b) (

4
,
∞
)
(c) [

2
,
∞
)
(d) (

2
,
∞
)
(e) (
∞
,

4) (f) (
∞
,

2)
2. If
b
and
c
are real numbers so that the polynomial
x
2
+
bx
+
c
has 1

2
i
as a zero, find
b
+
c
.
3. Let
R
(
x
) =
2
x
2
+ 5
x
+ 3
x
+ 2
. Then
R
(
x
) has an oblique asymptote at:
4. Solve the inequality:
x
2
+ 2
x
x

2
≥
0
5. Solve the inequality:
x
+ 1
2
x
+ 1
≤
1.
(a) (
∞
,

1
/
2]
∪
(0
,
∞
)
(b) (
∞
,

1
/
2)
∪
[0
,
∞
)
(c) [

1
/
2
,
0)
(d) (

1
/
2
,
0]
(e) (

1
/
2
,
0)
6. Find the remainder when
x
100

9
x
98
+ 2
x
2
+ 4
x

3 is divided by
x
+ 3.
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 Fall '08
 Staff
 Math, Real Numbers, Summation, Logarithm, −∞

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