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Running Head: COLLEGE ALGEBRA
College Algebra
Name of the Student
Name of the University
Author Note
College Algebra
Name of the Student
Name of the University
Author Note
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1COLLEGE ALGEBRA
Table of Contents
MAT11A – College Algebra......................................................................................................4
Answer 1................................................................................................................................4
Answer 2................................................................................................................................4
Answer 3................................................................................................................................4
Answer 4................................................................................................................................4
Answer 5................................................................................................................................5
Answer 6................................................................................................................................5
Answer 7................................................................................................................................6
Answer 8................................................................................................................................6
Answer 9................................................................................................................................7
Answer 10..............................................................................................................................7
Answer 11..............................................................................................................................8
Answer 12..............................................................................................................................9
Answer 13..............................................................................................................................9
Answer 14............................................................................................................................10
Answer 15............................................................................................................................10
Answer 16............................................................................................................................11
Answer 17............................................................................................................................11
Answer 18............................................................................................................................12
Answer 19............................................................................................................................13
Table of Contents
MAT11A – College Algebra......................................................................................................4
Answer 1................................................................................................................................4
Answer 2................................................................................................................................4
Answer 3................................................................................................................................4
Answer 4................................................................................................................................4
Answer 5................................................................................................................................5
Answer 6................................................................................................................................5
Answer 7................................................................................................................................6
Answer 8................................................................................................................................6
Answer 9................................................................................................................................7
Answer 10..............................................................................................................................7
Answer 11..............................................................................................................................8
Answer 12..............................................................................................................................9
Answer 13..............................................................................................................................9
Answer 14............................................................................................................................10
Answer 15............................................................................................................................10
Answer 16............................................................................................................................11
Answer 17............................................................................................................................11
Answer 18............................................................................................................................12
Answer 19............................................................................................................................13
2COLLEGE ALGEBRA
Answer 20............................................................................................................................14
Answer 21............................................................................................................................15
Answer 22............................................................................................................................15
Answer 23............................................................................................................................16
Answer 24............................................................................................................................16
Answer 25............................................................................................................................17
Answer 26............................................................................................................................17
Answer 27............................................................................................................................17
Answer 28............................................................................................................................17
Answer 29............................................................................................................................17
Answer 30............................................................................................................................17
Answer 31............................................................................................................................18
Answer 32............................................................................................................................18
Answer 33............................................................................................................................18
Answer 34............................................................................................................................18
Answer 35............................................................................................................................19
Answer 36............................................................................................................................19
Answer 37............................................................................................................................19
Answer 38............................................................................................................................19
MAT-111A - College Algebra Homework Problems..............................................................20
Answer 1..............................................................................................................................20
Answer 20............................................................................................................................14
Answer 21............................................................................................................................15
Answer 22............................................................................................................................15
Answer 23............................................................................................................................16
Answer 24............................................................................................................................16
Answer 25............................................................................................................................17
Answer 26............................................................................................................................17
Answer 27............................................................................................................................17
Answer 28............................................................................................................................17
Answer 29............................................................................................................................17
Answer 30............................................................................................................................17
Answer 31............................................................................................................................18
Answer 32............................................................................................................................18
Answer 33............................................................................................................................18
Answer 34............................................................................................................................18
Answer 35............................................................................................................................19
Answer 36............................................................................................................................19
Answer 37............................................................................................................................19
Answer 38............................................................................................................................19
MAT-111A - College Algebra Homework Problems..............................................................20
Answer 1..............................................................................................................................20
3COLLEGE ALGEBRA
Answer 2..............................................................................................................................20
Answer 3..............................................................................................................................21
Answer 4..............................................................................................................................22
Answer 5..............................................................................................................................22
Answer 6..............................................................................................................................22
Answer 7..............................................................................................................................23
Answer 8..............................................................................................................................24
Answer 9..............................................................................................................................24
Answer 10............................................................................................................................25
Answer 11............................................................................................................................25
Answer 12............................................................................................................................25
Answer 13............................................................................................................................25
Answer 14............................................................................................................................26
Answer 15............................................................................................................................26
Answer 16............................................................................................................................27
Answer 17............................................................................................................................27
Answer 18............................................................................................................................28
Answer 19............................................................................................................................28
Answer 20............................................................................................................................29
Answer 2..............................................................................................................................20
Answer 3..............................................................................................................................21
Answer 4..............................................................................................................................22
Answer 5..............................................................................................................................22
Answer 6..............................................................................................................................22
Answer 7..............................................................................................................................23
Answer 8..............................................................................................................................24
Answer 9..............................................................................................................................24
Answer 10............................................................................................................................25
Answer 11............................................................................................................................25
Answer 12............................................................................................................................25
Answer 13............................................................................................................................25
Answer 14............................................................................................................................26
Answer 15............................................................................................................................26
Answer 16............................................................................................................................27
Answer 17............................................................................................................................27
Answer 18............................................................................................................................28
Answer 19............................................................................................................................28
Answer 20............................................................................................................................29
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4COLLEGE ALGEBRA
5COLLEGE ALGEBRA
MAT11A – College Algebra
Answer 1
Answer 2
Answer 3
Answer 4
MAT11A – College Algebra
Answer 1
Answer 2
Answer 3
Answer 4
6COLLEGE ALGEBRA
Answer 5
Answer 6
Answer 5
Answer 6
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7COLLEGE ALGEBRA
Answer 7
Answer 8
Answer 7
Answer 8
8COLLEGE ALGEBRA
Answer 9
Answer 10
Answer 9
Answer 10
9COLLEGE ALGEBRA
Answer 11
x f(x) = sqrt(x) (x, y)
0 0 (0, 0)
1 1 (1, 1)
4 2 (4, 2)
9 3 (9, 3)
Answer 11
x f(x) = sqrt(x) (x, y)
0 0 (0, 0)
1 1 (1, 1)
4 2 (4, 2)
9 3 (9, 3)
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10COLLEGE ALGEBRA
0 1 2 3 4 5 6 7 8 9 10
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
f(x) = sqrt(x) g(x) = sqrt(x-1)
Answer 12
Answer 13
0 1 2 3 4 5 6 7 8 9 10
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
f(x) = sqrt(x) g(x) = sqrt(x-1)
Answer 12
Answer 13
11COLLEGE ALGEBRA
Answer 14
25 35 45 55 65 75
31
32
33
34
35
36
37
38
Series1
Answer 15
Answer 14
25 35 45 55 65 75
31
32
33
34
35
36
37
38
Series1
Answer 15
12COLLEGE ALGEBRA
Answer 16
Answer 17
Answer 16
Answer 17
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13COLLEGE ALGEBRA
Answer 18
Answer 18
14COLLEGE ALGEBRA
Answer 19
Answer 19
15COLLEGE ALGEBRA
Answer 20
Answer 20
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16COLLEGE ALGEBRA
Answer 21
Answer 22
Answer 21
Answer 22
17COLLEGE ALGEBRA
Answer 23
f ( x )=x2−x3
(a) Since the highest power of the polynomial is 3 and the leading coefficient is negative,
the graph rises to the left and falls to the right.
(b) To find the x-intercept:
x2−x3=0
¿> x2 ( 1−x )=0
Answer 23
f ( x )=x2−x3
(a) Since the highest power of the polynomial is 3 and the leading coefficient is negative,
the graph rises to the left and falls to the right.
(b) To find the x-intercept:
x2−x3=0
¿> x2 ( 1−x )=0
18COLLEGE ALGEBRA
¿> x=0 ,1
Therefore, the x-intercepts are (0, 0) and (1, 0). The graph touches the x-axis at (0, 0)
and crosses the intercept at (1, 0).
(c) To find the y intercept:
f ( x ) =x2−x3
¿> f ( x ) =0
Therefore, the required y-intercept is (0, 0)
(d) The graph neither has a y-axis symmetry and also does not have anything according to
the origin.
(e)
Answer 24
¿> x=0 ,1
Therefore, the x-intercepts are (0, 0) and (1, 0). The graph touches the x-axis at (0, 0)
and crosses the intercept at (1, 0).
(c) To find the y intercept:
f ( x ) =x2−x3
¿> f ( x ) =0
Therefore, the required y-intercept is (0, 0)
(d) The graph neither has a y-axis symmetry and also does not have anything according to
the origin.
(e)
Answer 24
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19COLLEGE ALGEBRA
Answer 25
Answer 26
Answer 27
Answer 28
Answer 29
Answer 25
Answer 26
Answer 27
Answer 28
Answer 29
20COLLEGE ALGEBRA
Answer 30
Answer 31
Answer 32
Answer 33
Answer 34
Answer 30
Answer 31
Answer 32
Answer 33
Answer 34
21COLLEGE ALGEBRA
Answer 35
Answer 36
Answer 35
Answer 36
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22COLLEGE ALGEBRA
Answer 37
Answer 38
MAT-111A - College Algebra Homework Problems
Answer 1
x h(x)
0 1
1 0.5
2 0.25
3 0.125
4 0.0625
Answer 37
Answer 38
MAT-111A - College Algebra Homework Problems
Answer 1
x h(x)
0 1
1 0.5
2 0.25
3 0.125
4 0.0625
23COLLEGE ALGEBRA
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
0.2
0.4
0.6
0.8
1
1.2
x
h(x)
Answer 2
x f(x) g(x)
0 1 3
1 0.5 2
2 0.25 1.5
3 0.125 1.25
4 0.0625 1.125
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
0.5
1
1.5
2
2.5
3
3.5
f(x) g(x)
x
Function
Answer 3
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
0.2
0.4
0.6
0.8
1
1.2
x
h(x)
Answer 2
x f(x) g(x)
0 1 3
1 0.5 2
2 0.25 1.5
3 0.125 1.25
4 0.0625 1.125
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
0
0.5
1
1.5
2
2.5
3
3.5
f(x) g(x)
x
Function
Answer 3
24COLLEGE ALGEBRA
Answer 4
Answer 4
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25COLLEGE ALGEBRA
Answer 5
Answer 6
Answer 5
Answer 6
26COLLEGE ALGEBRA
Answer 7
x f(x) = 62 + 35 log (x - 4)
5 62
6 72.54
7 78.70
8 83.07
9 86.46
10 89.24
11 91.58
12 93.61
13 95.40
14 97
15 98.45
Thus, the approximate percentage of the adult height of a girl attained at the age of 13
is 95.40 percent.
Answer 7
x f(x) = 62 + 35 log (x - 4)
5 62
6 72.54
7 78.70
8 83.07
9 86.46
10 89.24
11 91.58
12 93.61
13 95.40
14 97
15 98.45
Thus, the approximate percentage of the adult height of a girl attained at the age of 13
is 95.40 percent.
27COLLEGE ALGEBRA
Answer 8
Answer 9
Answer 8
Answer 9
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28COLLEGE ALGEBRA
Answer 10
Answer 11
Answer 12
Answer 13
Answer 10
Answer 11
Answer 12
Answer 13
29COLLEGE ALGEBRA
Answer 14
Answer 15
Answer 14
Answer 15
30COLLEGE ALGEBRA
Answer 16
Answer 17
Answer 16
Answer 17
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31COLLEGE ALGEBRA
Answer 18
Answer 19
Answer 18
Answer 19
32COLLEGE ALGEBRA
Answer 20
(a) The scatterplot of the given data is given below:
75 80 85 90 95 100 105
0
100000
200000
300000
400000
500000
600000
700000
Age at Death
Savings Needed
(b) From the graph, it can be seen clearly that an exponential function is the best for
modelling the data.
Answer 20
(a) The scatterplot of the given data is given below:
75 80 85 90 95 100 105
0
100000
200000
300000
400000
500000
600000
700000
Age at Death
Savings Needed
(b) From the graph, it can be seen clearly that an exponential function is the best for
modelling the data.
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