# Determine the domain and range of the piecewise function. 1. ______

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

Determine the domain and range of the 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+ 6 2. ______
−8,−2
−2
−14
No solution
Page 1 of 11

College Algebra MATH 107 Spring, 2016, V1.7

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 respect to the origin,
the x-axis, or the y-axis. 4. ______
symmetric with respect to the x-axis only
symmetric with respect to the y-axis only
symmetric with respect to the origin only
not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to 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-intercept equation for a line parallel to the line x + 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 best describes 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

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 __________________________

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.

There are 30 problems.

Problems #1-12 are multiple choice. Record your choice for each problem.