MATH 107 FINAL EXAMINATION

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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. ______

A. Domain [–4, 0]; Range [–2, 2] B. Domain [–4, 0]; Range [0, 2] C. Domain [–2, 2]; Range [–4, 0] D. Domain [0, 2]; Range [–4, 0]

2. Solve: 10 3x x − = − 2. ______

A. –5, 2 B. –5 C. 5/2 D. No solution

2 4 -4
-2
-4
2
4
-2
College Algebra MATH 107 Spring, 2018, V1.1
Page 2 of 11

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

A. (–∞, – 4) and (2, ∞)

B. (–6.7, 0) and (3.6, ∞)

C. (– 4, 2)

D. (–1, 3)

4. Determine whether the graph of 1 3 y x − = is symmetric with respect to the origin, the x-axis, or the y-axis. 4. ______

A. not symmetric with respect to the y-axis, not symmetric with respect to the x-axis, and not symmetric with respect to the origin B. symmetric with respect to the origin only C. symmetric with respect to the x-axis only D. symmetric with respect to the y-axis only

5. Solve, and express the answer in interval notation: | 7 – 3x | ≤ 11. 5. ______

A. (–∞, –4/3] B. [–4/3, 6] C. (–∞, –4/3] ∪ [6, ∞) D. (–∞, 6] ∪ [–4/3, ∞)

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