quiz
University of Maryland University College 30 January 2017
Directions:
– Read
and sign the academic honesty certification statement below, then read the
questions carefully and answer them to the best of your ability. You may write
your answers on this sheet or on the sheet you do your work on, but PLEASE show
your work! Also, define all your variables (when required), identify
any formulas you are using and be sure to include a complete final answer that
answers the question. Include the proper units when necessary. Follow
directions as outlined in Quizzes under the “Table of Contents”
link on our classroom Content link. If you have ANY questions, please contact
me directly via email and/or phone to discuss.
– Test
& work is due as specified in “Course Schedule”. You must uploaded your
Quiz 3 NLT February 5, 2017, 11:59 pm. Please upload as one file,
preferably as a PDF. I cannot accept any late submissions!
Good luck!
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1
University of Maryland University College 30 January 2017
MATH 107 – 6382 ()
Quiz 3
1.
(20 pts) Test the given equations algebraically to determine whether the
functions are even, odd, or neither even nor odd. Show your work.
a. ( ) =
?23 +
2 ? 3
b. ( ) =
+1
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c. ( ) =
? | |
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d. ( ) = ?2 + 1
2
University of Maryland University College 30 January 2017
MATH 107 – 6382 Quiz
3
2.
(15 pts)The
following points are on the graph of: = ( ):
(-5, 0), (-2, 2), (0, 0), (2, -4), and
(4, 0)
Use
Theorem 1.7 (show your work) to identify the corresponding points on the
following transformed functions:
a. = 2
( ? 3) ? 2
b. = ?2
( + 1) + 1
c. = ?1
( ? 3) + 2
3
University of Maryland University College 30 January 2017
MATH 107 – 6382 ()
Quiz 3
3. (5
pts)A
graph of
y=f(x)is
given below. There is NO formula forf.Using
the graph of
y=
f(x), which graph (A, B, C, or D) represents the
graph of y= f(x-2) + 1? Identify the graphby
letter and include a brief explanation of your selection.
Graph Choice: ______
Explanation:
y= f(x)
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5
3
1
-5
-3
-1-1
1
3
5
-3
-5
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A
5
B
5
3
3
1
1
-5
-3
-1-1
1
3
5
-5
-3
-1-1
1
3
5
-3
-3
-5
-5
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C
5
D
5
3
3
1
1
-5
-3
-1-1
1
3
5
-5
-3
-1-1
1
3
5
-3
-3
-5
-5
4
University of Maryland University College 30 January 2017
MATH 107 – 6382 ()
Quiz 3
4. (9
pts) Find the slope and the y-intercept of the line with given equation. Show your work.
A.= ?35
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B. = 34
C.
3 ?
2 + 5 = 0
5
University of Maryland University College 30 January 2017
MATH 107 – 6382 ()
Quiz 3
5.(12 pts) Write a
slope-intercept equation for the following lines:
A.
=25 ,
?: (0,6)
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B. = ?23 , ? ? (3,7)
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C. : = 5 + 1 ? ?(3,7)
6
University of Maryland University College 30 January 2017
MATH 107 – 6382 ()
Quiz 3
6. (20 pts)For
each function, determine (algebraically) the zeros, and thex- andy-intercepts.Also, list the domain, the
range, and relative and absolute extrema. For all, clearly identify your answer
or state they do not exist and why. Also, list the intervals on which the
function is increasing, decreasing, or constant. Show your work.
a. ( ) =12|5 ? | ?
78
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7
University of Maryland University College 30 January 2017
MATH 107 – 6382 ()
Quiz 3
b. ( ) = 5
? 2| ? 2|
8
University of Maryland University College 30 January 2017
MATH 107 – 6382 ()
Quiz 3
7. (19 pts) A couple purchased a house
in 2005. In 2009, the house appraised for $475,400. The couple refinanced the
house in 2014 and the appraisal was $468,800. The couple determined a linear
relationship existed between the number of years since 2005 and the
appraised value of the house. Use this information to answer the following (show
your work):
a. Write a linear equation that models this relationship.
Be sure to define any variables used.
b.
Use
the model (equation) to estimate the value of the house in 2011.
c. Use the model (equation) to estimate
the value of the house when initially purchased.
d.
Discuss the meaning of the slope within the context of this problem.
9
