Math 107 Final Exam Answers

MATH 107 Final Exam Answers

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MATH 107 Final Exam Answers

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

1. Domain [–3, 3]; Range [–2, 4]

2. Domain [–3, 3]; Range [0, 3]

3. Domain [–2, 4]; Range [–3, 3]

4. Domain [–1, 4]; Range [–2, 2]

5. Solve: 2x+ 20= x+ 6 2. ______

6. −8,−2

7. −2

8. −14

9. No solution

Page 1 of 11

College Algebra MATH 107 Spring, 2016, V1.7

3. Determine the interval(s) on which the function is decreasing. 3. ______

4. (–3.6, 0) and (6.7,∞)

5. (–2, 4)

6. (–∞, –2) and (4,∞)

7. (–1, 3)

4. Determine whether the graph of y= x−7 is symmetric with respect to the origin,

the x-axis, or the y-axis. 4. ______

1. symmetric with respect to the x-axis only

2. symmetric with respect to the y-axis only

3. symmetric with respect to the origin only

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

5. Solve, and express the answer in interval notation: | 5 – 6x|≥13. 5. ______

6. [4/3,∞)

7. (–∞,−4/3]∪ [3,∞)

8. (–∞, 3]∪ [−4/3,∞)

9. [–4/3, 3]

Page 2 of 11

College Algebra MATH 107 Spring, 2016, V1.7

6. Which of the following represents the graph of 9x− 2y = 18 ? 6. ______

7. B.

8. D.

Page 3 of 11

College Algebra MATH 107 Spring, 2016, V1.7

7. Write a slope-intercept equation for a line parallel to the line x + 3y = 8 which passes through the point (– 4, 5). 7. ______

8. y=−1 x+11

3 3

1. y=−1 x+5

3

1. y=1 x+5

3

1. y=−3x−7

2. Which of the following best describes the graph? 8. ______

3. It is the graph of an absolute value relation.

4. It is the graph of a function but not one-to-one

5. It is the graph of a function...