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1. MATH 107 Final Examination
Answers
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MATH 107 Final Examination Answers
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are ShortAnswer. (Work not required to be shown)
Problems #22–30 are ShortAnswer with work required to be shown.
MULTIPLE CHOICE
 Determine the domain and range ofthe piecewise function.1.______
4 2
-4 -2 2 4
-2 -4
 Domain [–3,3]; Range [–2, 4]
 Domain [–3,3]; Range [0, 3]
 Domain [–2,4]; Range [–3, 3]
 Domain [–1,4]; Range [–2, 2]
 Solve: 2x+ 20=x+ 62. ______
 −8,−2
 −2
 −14
 No solution
Page 1 of 11
College Algebra MATH 107 Spring, 2016,V1.7

2.  Determine the interval(s) on which the function is decreasing.3.______
 (–3.6, 0) and (6.7,∞)
 (–2, 4)
 (–∞, –2) and (4,∞)
 (–1, 3)
4. Determine whether the
graph of y=
x−7 is symmetric with respectto
the origin,
the x-axis, or the y-axis. 4.
______
 symmetric with respectto thex-axis only
 symmetric with respectto they-axis only
 symmetric with respectto the origin only
 not symmetric with respectto thex-axis, not symmetric with respectto they-axis, and not symmetric with respectto
the origin
 Solve, and express the answer in interval notation: | 5 – 6x|≥13.5. ______
 [4/3,∞)
 (–∞,−4/3]∪ [3,∞)
 (–∞, 3]∪ [−4/3,∞)
 [–4/3, 3]
Page 2 of 11
College Algebra MATH 107 Spring, 2016,V1.7
 Which of the following represents the graph of 9x− 2y= 18 ?6. ______
 B.
 D.
Page 3 of 11
College Algebra MATH 107 Spring, 2016,V1.7
 Write a slope-interceptequation for a line parallel to the linex+ 3y = 8 which passes through the point(– 4, 5). 7.
______
 y=−1
x+11
3 3
 y=−1
x+5
3
 y=1
x+5
3
 y=−3x−7
 Which of the following bestdescribes the graph?8.______
 It is the graph of an absolute value relation.
 It is the graph of a function but not one-to-one
 It is the graph of a function and it is one-to-one.
 It is not the graph of a function.
Page 4 of 11

3. College Algebra
MATH 107
Spring,
2016,V1.7
9. Express as a
single logarithm:3
log (x + 2) + log 1 –
log y
9.
______
A. 6 log( x)+1
log y
3 +
8
B. log x
y
C. log ( x+2)3
y
D. log(3 x+
7− y)
 Which of the functions corresponds to the graph?10.______
 f(x)= ex
+3
 f(x)= e−x
+3
 f(x)= e−x
+2
 f(x)=− ex
+3
Math 107 College Algebra Name______________________________
Final Examination: Fall, 2015 Instructor __________________________
Answer Sheet
Instructions:
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.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice.Record your choice for each problem.
Problems #13-21 are shortanswer.Record your answer for each problem.
Problems #22-30 are shortanswer with work required.When requested,show all work and write all answers in the
spaces allotted on the following pages. You may type your work using plain-textformatting or an equation editor,or
you may hand-write your work and scan it. In either case,show work neatly and correctly, following standard

4. mathematical conventions. Each step should follow clearlyand completelyfrom the previous step. If necessary,you
may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with others is allowed.
Your exam will receive a zero grade unless you complete the following honor statement.
Please sign (or type) your namebelow thefollowing honor statement:I have
completed this final examination myself, working independently and not
consulting anyone except the instructor. I have neither given nor received help
on this final examination.
Name _____________________
Date___________________
MULTIPLE CHOICE. Record your answer choices.






SHORT ANSWER. Record your answers below.
13.
14.

5.  (a)
(b)
(c)
 (a)
(b)
(c)
(d)
 (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem
Number
Solution

6. 22 Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23 Answers:

7. (a)
(b)
(c)
Work for part (a):
24 Answer:

8. Work:
25 Answer:
Work:

9. 26 Answers:
(a)
(b)
Work for part (a) and for part (b):

10. 27 Answer:
Work:

11. 28 Answer:
Work:

12. 29 Answers:
(a)
(b)
Work for (b):

13. 30 Answer:
Work: