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allquestionsand instructions are in the sheet i have attached.
Please remember to show ALL of your work on every problem.Read the basic rules for showing work below BEFORE you start working on the quiz.
a) Each step should show the complete expression or equation rather than a piece of it.
b) Each new step should follow logically from the previous step, following rules of algebra.
c) Each new step should be beneath the previous step.
d) The equal sign, =, should only connect equal numbers or expressions.
Name________________________________
Instructions:
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The quiz is worth 50 points.There are 10 problems, each worth 5 points. Your score on the quiz will be
converted to a percentage and posted in your assignment folder with comments.
This quiz is open book and open notes, and you may take as long as you like on it provided that you
submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer
to your textbook, notes, and online classroom materials, but you may not consult anyone.
You must show all of your work to receive full credit. If a problem does not seem to require work, write
a sentence or two to justify your answer.
Please type your work in your copy of the quiz, or if you prefer, create a document containing your
work. Scanned work is also acceptable. Be sure to include your name in the document. Review
instructions for submitting your quiz in the Quizzes Module.
At the end of your quiz 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 quiz myself, working independently and not consulting anyone except the instructor. I
have neither given nor received help on this quiz.
Name:
Date:
Please remember to show ALL of your work on every problem. Read the basic rules for
showing work below BEFORE you start working on the quiz.
a) Each step should show the complete expression or equation rather than a piece of it.
b) Each new step should follow logically from the previous step, following rules of algebra.
c) Each new step should be beneath the previous step.
d) The equal sign, =, should only connect equal numbers or expressions.
If you have questions about showing work, please ask.
Math 107
Quiz 1
Page 2
Did you read the rules for showing work on page 1 of the quiz? If not, please go back to page 1 now and
read them. If you do not show work correctly, you will not earn full credit.
1) Find the distance d between the points and the midpoint M of the line segment which connects them.
(3, −5), (−4, 9)
2) For the equation given below find the followings and sketch the graph.
𝑦=
1
|𝑥 − 2| − 2
2
(a) Find the x- and y-intercept(s) of the graph, if any exits.
(b) Create a table of sample points on the graph of the
equation.
(c) Plot the sample points and create a rough sketch of the
graph of the equation. (You may use the following
graphing grid) Computer or internet generated graphs do
not count for grading. This graph has to be hand
sketched by clearly indicating the sample points.
Math 107
Quiz 1
Page 3
3) For the equation given below find the followings and sketch the graph.
𝑦 = √𝑥 − 5
(a) Find the x- and y-intercept(s) of the graph, if any exits.
(b) Create a table of sample points on the graph of the
equation.
(c) Plot the sample points and create a rough sketch of the
graph of the equation. (You may use the following
graphing grid) Computer or internet generated graphs do
not count for grading. This graph has to be hand sketched
by clearly indicating the sample points.
4) For the function given below find the followings and sketch the graph.
𝑓(𝑥) = 3𝑥 2 − 7
(a) Find the x- and y-intercept(s) of the graph, if any exits.
(b) Create a table of sample points on the graph of the
equation.
(c) Plot the sample points and create a rough sketch of the
graph of the equation. (You may use the following
graphing grid) Computer or internet generated graphs
do not count for grading. This graph has to be hand
sketched by clearly indicating the sample points.
(d) Give the domain and range.
Math 107
Quiz 1
Page 4
5) Determine whether the following equations represent y as a function of x. Show work and justify your
answer.
(a) 𝑦 − 3𝑥 2 = −4𝑥
(b) 19𝑥 + 𝑦 2 = 18
6) Determine whether the following equations represent y as a function of x. Show work and justify your
answer.
(a) −𝑥 + 𝑦 3 = 0
(b) 𝑥𝑦 = 𝑦 3
Math 107
Quiz 1
7) Use the given function below to find and simplify the following.
𝑓(𝑥) = −𝑥 2 + 4𝑥 + 5
(a) 𝑓(1)
(b) 𝑓(0)
(c) 𝑓(−1)
(d) 𝑓(−𝑥)
(e) 𝑓(5)
8) Use the given function below to find and simplify the following.
8𝑥 + 3
𝑓(𝑥) =
4𝑥 + 6
(a) 𝑓(−2)
(b) 𝑓(2)
(c) 𝑓(𝑥 − 1)
(d) 𝑓(0)
3
(e) 𝑓 (2)
Page 5
Math 107
Quiz 1
Page 6
9) Use the function to find the following values if they exist.
𝑓(𝑥) = 2𝑥 − 1
(a) 𝑓(3 + 2)
(b) 𝑓(3) + 𝑓(2)
(c) 𝑓(3 − 2)
(d) 𝑓(3) − 𝑓(2)
(e) 𝑓(3 ∙ 2)
𝑓(𝑥+ℎ)−𝑓(𝑥)
10) Find and simplify the difference quotient
.
ℎ
2
𝑓(𝑥) = −3𝑥 − 4𝑥 − 4
End of quiz: please remember to sign and date the honor statement in the box on the first page of the quiz.
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