College Algebra MATH 107 Summer, 2017, V1.11, algebra homework help
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College Algebra MATH 107 Summer, 2017, V1.11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be shown)
Problems #22–30 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function. 1. ______
4
2
|
-4-2 |
2 |
4 |
-2 -4
- Domain [– 2, 4]; Range [– 1, 3]
- Domain [– 1, 1]; Range [– 1, 1]
- Domain [– 1, 3]; Range [– 2, 4]
- Domain [– 0.5, 4]; Range [0, 3]
2. Solve: x + 17 = 3 − x 2. ______
- −7
- −1
- −1, 8
- No solution
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College Algebra MATH 107 Summer, 2017, V1.11
3. Determine the interval(s) on which the function is decreasing. 3. ______
- (– 5.5, –2)
- (– 4, –1.2)
- (–∞, –2)
- (–∞, – 4) and (1, ∞)
|
4. Determine whether the graph of y = 7 − |
x |
is symmetric with respect to the origin, |
|
the x-axis, or the y-axis. |
4. ______ |
|
- not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to the origin
- symmetric with respect to the x-axis only
- symmetric with respect to the y-axis only
- symmetric with respect to the origin only
5. Solve, and express the answer in interval notation: | 8 – 5x | ≤ 12. 5. ______
- (–∞, – 4] ∪ [4/5, ∞)
- (–∞, – 4/5] ∪ [4, ∞)
- [– 4/5, 4]
- [– 4/5, ∞)
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College Algebra MATH 107 Summer, 2017, V1.11
6. Which of the following represents the graph of 4x − 9y = 36 ? 6. ______
A. B.
C. D.
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College Algebra MATH 107 Summer, 2017, V1.11
7. Write a slope-intercept equation for a line parallel to the line x – 8y = 9 which passes through the point (16, –5). 7. ______
- y = − 1 x − 3
8
- y = 1 x − 7
8
- y = 1 x − 5
8
- y = −8x + 123
8. Does the graph below represent a function and is it one-to-one? 8. ______
- It is not a function but it is one-to-one.
- It is not a function and it is not one-to-one.
- It is a function and it is one-to-one.
- It is a function but not one-to-one.
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Summer, 2017, V1.11 |
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9. Express as a single logarithm: 6 log x – log y + log 1 |
9. ______ |
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A. |
log ( 6 x − y + 1) |
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B. |
log ( 6x − y ) |
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6 |
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C. |
log |
x |
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y |
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+ 1 |
6 |
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D. |
log |
x |
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y |
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10. Which of the functions corresponds to the graph? 10. ______
- f ( x ) = − e x+ 3
- f ( x ) = e− x+ 3
- f ( x ) = e x+ 4
- f ( x ) = e− x+ 4
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