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.

Also sign here: