HONORS PRECALCULUS B
1.
Semester Exam Review Answers
y
Vertical asymptotes: x  2, x  5
Horizontal asymptote: y  0
3

y-intercept at:  0,  
10 

–2
O
5
x
y
2.
Vertical asymptotes: x  4, x  2
Horizontal asymptote: y  0
 1
y-intercept at :  0, 
 2
x-intercept at:  4, 0 
–4
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O
2
x
1
HONORS PRECALCULUS B
Semester Exam Review Answers
y
3.
Vertical asymptote: x  3
Horizontal asymptote: y  2
 1
y-intercept at:  0, 
 3
1 
x-intercept at:  , 0 
2 
2
O
x
3
4.
y
Vertical asymptote: x  6
Horizontal asymptote: y  1
Domain: all reals except –6 and 6
Range: All reals except
5
and 1
12
1
–6
O
 6, 
5
12
x
1

y-intercept at:  0,  
6

x-intercept at: 1, 0 
 5
Removable discontinuity at:  6, 
 12 
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HONORS PRECALCULUS B
5.
Semester Exam Review Answers
y
Vertical asymptote: x  6
Oblique asymptote: y  x  2
Domain: All reals except 6
Range: All reals
O
6
x
7

y-intercept at:  0,  
6

x-intercepts at: 1, 0  ,  7, 0 
6.
D
7.
x  2, x  5
8.
x  2 (4 is extraneous)
9.
0 x2
10.
5  x  2  x  3
11.
8
5

x3 x2
12.
3
3

x  2 x 1
13.

14
D
1
12
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HONORS PRECALCULUS B
15.
B
16.
B
17.
C
18.
C
19.
4.543
20.
–3.173
21.
g  x   3x 5
22.
g  x   7  9 x
23.
1
x  ln19
2
24.
x
25.

1  ln100  1  2
x 
 1  
 1  2.548
3  ln 2
 3  log 2 
26.
x  e 2  4  3.389
27.
x
28.
x  5 (–1 is extraneous)
29.
x3
30.
x5
31.
a.
 t
N  t   600  3 4 
 
b.
4103
c.
t  10.907 weeks
32.
Semester Exam Review Answers
log 345 ln 345

 5.675
log 2.8 ln 2.8
50
 16.667
3
k  .115  11.5%
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HONORS PRECALCULUS B
33.
t  3.046 years or 3 yrs., 1 mo.
34.
a.
1,300
b.
4% per year
c.
1,939
d.
t  16.348 years
a.
5356 gallons
b.
9.902 hours
a.
78 percent
b.
approximately 16.575 years
a.
Domain: all real numbers greater than –2
35.
36.
37.
Semester Exam Review Answers
Range: all real numbers
38.
b.
Vertical asymptote at x  2
c.
reflect f  x   ln x about the x-axis, translate left 2 and down 5
a.
1,500 people
b.
approximately 1.501 weeks
c.
30,000 people
39.
y  2x  7
40.
y  2x  3
41.
x2 y 2

1
25 64
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HONORS PRECALCULUS B
42.
Intermediate answers have not been rounded. If you rounded intermediate answers, your
final answers may be slightly different.
a.
43.
x  132t cos  20o 
y  16t 2  132t sin  20o 
b.
x  248.079 feet, y  26.293 feet
c.
349.998 feet
Intermediate answers have not been rounded. If you rounded intermediate answers, your
final answers may be slightly different.
a.
44.
Semester Exam Review Answers
x  82t cos  63o 
y  16t 2  82t sin  63o   2
b.
x  55.841 feet, y  75.594 feet
c.
The ball goes over the player’s head
d.
The ball hits the ground at approximately t  4.594 seconds, landing
approximately 171.008 feet from the kicker.
Vector equation: x, y  1, 4  t 2,5 or
Parametric equations:
x  1  2t
y  4  5t
45.
B
46.
Magnitude is 10, direction angle is 126.9o
47.
Head to Tail
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x  1, y  4  t 2,5
Parallelogram
6
HONORS PRECALCULUS B
Semester Exam Review Answers
48.
49.
–3
50.
96.1o
51.
r 6
52.
r  7.5
53.
a.
54.
55.
1, 7, 9
b.
11.446
a.
68.2o
b.
11,19, 5
c.
x, y  2, 4,3  t 4,1,5 or
a.
444.456 miles per hour
b.
5.478o North of West
56.
 4, 4 3 
57.
 2
58.
8,300 
59.

60.
B
2.  2 2
x  2, y  4, z  3  t 4,1,5

o
2, 225o

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HONORS PRECALCULUS B
Semester Exam Review Answers
61.
4
2
62.
2
4
9
cos   sin 
63.
r
64.
r  7 sec  
65.
y6
66.
2x  5 y  3
67.
12  cos150o  i sin150o 
68.
12  cos 30o  i sin 30o 
7
cos 
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HONORS PRECALCULUS B
Semester Exam Review Answers
69.
3  3i 3
70.
2
71.



2  cos  i sin 
4
4

72.
81 cos 220o  i sin 220o 
73.
.667, 70.5  ,  2,180  , .667, 289.5 
74.
   0, 0  , 
75.
Answers may vary. One possibility:
o
o
o
 3 

3 5 
,  ,  0,   ,  
, 
 2 3
 2 3 

2
n2
n 1
7
76.
Answers may vary. One possibility:
  4n  7 
n 1
77.
13.5
78.
Does not have a sum
79.
24
80.
34
81.
180
82.
1
1 x
83.
x 4  8 x3  24 x 2  32 x  64
84.
40
85.
20
86.
6
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HONORS PRECALCULUS B
MCPS © 2015-2016
Semester Exam Review Answers
10