Math Wk 4 QD
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Wk4.1DiscussionQuiz4M107.docxBe sure to show work or an explanation with your solution; generally speaking, do not just state your answer.
In Exercises 1 - 21, find all real solutions. Check your answers, as directed by your instructor.
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MATH 107 Quiz 3 NAME_______________________________ Fall_OL4 Instructor: K. Chavis
INSTRUCTIONS
1. The quiz is worth 100 points. There are 7 problems (points for each problem is listed).
· This quiz is open book and open notes , unlimited time . This means that you may refer to your textbook, notes, and online classroom materials, but you may not consult anyone . You may take as much time as you wish, provided you turn in your quiz no later than the due date posted in our course schedule of the syllabus.
· You must show your work on problems that indicate to show work to receive full credit. If you do not show your work, you may earn only partial or no credit at the discretion of the professor. Please type your work in your copy of the exam, or if you prefer, create a document containing your work. Scanned work is acceptable also. Be sure to include your name in the document.
· To complete your quiz, you may type your work or scan your hand written work or take pictures of your handwritten work. Once you have completed the quiz, submit your work in your LEO Assignment Folder.
· If you have any questions, please contact me by e-mail ([email protected]) and make sure you include Math107 as your subject.
At the end of your exam you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero.
I have completed this exam myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this exam.
Name: Date:
SHORT ANSWER. Answer the questions in the spaces provided. Show all work where indicated.
(a) State the zero(s) of the function. 1a. ________
(b) Which of the following is true? 1b. ______
A. f is an even function.
B. f is an odd function.
C. f is both even and odd.
D. f is neither even nor odd.
2. (15 pts) Consider the points (4, 1) and (–8, –8).
(a) Find the slope-intercept equation of the line passing through the two given points. Show work.
(b) Graph the line you found in (a), either drawing it on the grid in the next problem #3, or generating the graph electronically and attaching it.
(c) Compare your line for this problem, #2, with the line in the next problem #3. Are the two lines parallel, perpendicular, or neither parallel nor perpendicular? (The terms parallel and perpendicular are discussed on pages 166 and 167.) No explanation required – just state the answer.
3. (10 pts) Which of the following equations does the graph represent? Show work or explanation.
3. ______
|
A.
B.
C.
D.
|
|
4. (15 pts) Given and , which of the following is the domain of the quotient function? Explain. 4._______
A.
B.
C.
D.
5. (10 pts) For each graph, is the graph symmetric with respect to the x-axis? y-axis? origin?(No explanation required. Just answer Yes or No to each question.)
|
(a)
Symmetric with respect to the
x-axis? ____
y-axis? ____
origin? ____
|
(b)
Symmetric with respect to the
x-axis? ____
y-axis? ____
origin? ____ |
6. (15 pts) The number of guests g in a water park t hours after 9 am is given by g(t) = –32t2 + 224t + 263 for 0 t 8. (t = 0 corresponds to 9 am)
Find and interpret the average rate of change of g over the interval {t | 0 t 3} = [0, 3]. Show work.
7. (25 pts) Ted's car has broken down and he needs it towed. A quick search reveals that two towing services offer the following arrangements:
Acme Towing: Pay a fee of $60.00, plus $2.50 per mile towed
or BeQuick: Pay a fee of $33.00, plus $4.00 per mile towed
(a) State a linear function f (x) that represents Acme Towing's total charge for towing a vehicle x miles.
(b) State a linear function g(x) that represents BeQuick Towing's total charge for towing a vehicle x miles.
(c) Ted needs to have his car towed 22 miles, as cheaply as possible. Which towing service should he choose? Show work/explanation.
(d) For what distance towed is the total towing charge exactly the same for both towing services? Show algebraic work/explanation.
(e) Fill in the blanks:
The BeQuick towing service is the cheaper option if the vehicle is towed ________(choose less or more ) than ______ (enter number) miles.
y = 4 3 x+8
y=
4
3
x+8
y = − 3 4 x+8
y=-
3
4
x+8
y = 3 4 x+6
y=
3
4
x+6
y = − 4 3 x+8
y=-
4
3
x+8
g
f
/
f (x)= 4− x
f(x)=4-x
