Quiz 2

Math 107 Section 4060 – Quiz #2 – Due November 9, 2021 – page 1 of 4
Follow these directions carefully.
• This quiz is due by 11:59 Eastern time on November 9, 2021.
o This is an important assignment, counting 9% of your grade.
o Submit this assignment in your assignments folder by the due date.
• Answer all the questions. There are 23 problems on 4 pages.
o There are 100 points possible.
o No work is required for the MULTIPLE CHOICE SECTION or for the SHORT
ANSWER SECTION. There is no partial credit for these problems, so please
consider your answers carefully.
o Show all work for the LONG ANSWER SECTION. There is partial credit for
these problems
• Use the template provided to answer the MULTIPLE CHOICE and SHORT ANSWER
questions. Please use a separate document to answer the long answer section. You
may type up your answers in a document (like Word or Excel) or handwrite your
answers and scan them in – up to you.
• Submit your assignment as an attachment. Under no circumstances should you
type your answers into a text box.
MULTIPLE CHOICE QUESTIONS. (30 pts total, 3 pts each)
1. The distance between (0,3) and (0, −3) is:
A. 0 C. 9√2
B. 6 D. None of these
2. Consider the graph of the equation � = 3 + 2�!. Which one of the following is true?
A. It is not the graph of a function.
B. It is symmetric with respect to the origin.
C. It is symmetric about the x-axis.
D. It is symmetric about the y-axis.
3. Consider the graph of the equation � = 1 − �!. Which one of the following is true?
A. It is the graph of a function.
B. It is symmetric with respect to the origin.
C. It is symmetric about the x-axis.
D. It is symmetric about the y-axis.
5. The point (�, �) is in the second quadrant. In which quadrant is (−3�, 2�)?
A. I
B. II
C. III
D. IV
Math 107 Section 4060 – Quiz #2 – Due November 9, 2021 – page 2 of 4
6. Consider the following statements:
I. A horizontal line through the point (−3,2) has equation � = 2.
II. A vertical line through the point (√3, −5) has equation � = √3.
III. The relation {(0,8), (2,5), (−2,8), (1,5)} is a function.
Which of the statements are true?
A. All of them are true.
B. I only.
C. II only.
D. III only.
7. Consider the function �(�) = �! − 9. The domain of 1/� is:
A. (−∞, −3) ∪ (3, ∞)
B. (−∞, −3) ∪ (−3,3) ∪ (3, ∞)
C. (−3,3)
D. (−∞, ∞)
8. Consider the function �(�) = ”
√$%!
. Its domain is:
A. [0, ∞)
B. [2, ∞)
C. (0, ∞)
D. (2, ∞)
9. Consider the functions �(�) = �! − 9 and �(�) = √� − 2. The domain of
(�/�)(�) is:
A. [2, ∞) C. (−∞, −3) ∪ (−3,3) ∪ (3, ∞)
B. [2,3) ∪ (3, ∞) D. (−∞, −3) ∪ (−3,2) ∪ (2, ∞)
10. Consider the function �(�) = �&!. Consider the following statements:
I. f is an odd function.
II. The graph of f is symmetric about the origin.
Which of the statements are true?
A. I is true, but not II.
B. II is true, but not I.
C. I and II are both true.
D. Neither statement is true.
Math 107 Section 4060 – Quiz #2 – Due November 9, 2021 – page 3 of 4
SHORT ANSWER QUESTIONS. (30 pts total, 3 pts each)
11. If the graph of a relation is symmetric about the x-axis and the point (−4,7) is on the
graph of the relation, what other point must be on the graph of the relation?
12. If the graph of a relation is symmetric about the y-axis and the point (−4, −7) is on
the graph of the relation, what other point must be on the graph of the relation?
13. If the graph of a relation is symmetric about the origin and the point (3, −2) is on
the graph of the relation, what other point must be on the graph of the relation?
14. Suppose that �(�) = � − 3 and �(�) = 9 − �!. Find (� − �)(−3).
15. Suppose that �(�) = � − 3 and �(�) = 9 − �!. Determine the domain of the
quotient function ℎ(�) = ‘($)
*($) and express the answer in interval notation.
16. Suppose that �(�) = −�! − 2� − 6. Determine �(−3�) and simplify.
Questions 17 and 18 involve the following function defined piecewise:
�(�) = A 1 − 2�! for � ≤ −2
−|� + 2| for � > −2
17. Find �(0).
18. Find �(−2).
Questions 19, and 20 refer to this number line:
19. What is the x-coordinate of A?
20. What is the (straight-line) distance between A and B?
Math 107 Section 4060 – Quiz #2 – Due November 9, 2021 – page 4 of 4
LONG ANSWER PROBLEMS. (40 pts total)
21. Consider the points in the plane defined by �(4, −4) and �(−2, −1).
a. Find the midpoint of ��. (5pts)
b. Find the length of �� and express the answer in simplest radical form.
(10 pts)
c. When �� is reflected about the y-axis, what are the endpoints of the resulting
line segment? (5 pts)
22. Consider the graph of the equation 5� − 2� = 15.
a. Find the (x, y) coordinates of the intercept(s), if any. (5 pts)
b. Write y as a function of x by solving for y. (5 pts)
c. Make a table of values where � = −3, −2, −1, 0, 1, 2, 3 and then graph the
line. (5 pts)
23. Graph the relation {(0,8), (2,5), (−2,8), (−2,5), (1,5), (2,7)}. State its domain and
range. (5 pts)

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