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University of Maryland University College
Math 107 – College Algebra
Quiz 2
-5
Free Response, Multiple Choice, and Yes/No Problems, 5 Points
Each
You may write answers after problems (you may use Microsoft
Equation). If you prefer handwriting, prepare you answer sheet,
scan it, and prepare a file in PDF format.
1. Find the midpoint of the segment with the given endpoints.
and
2. Find x- and y-intercepts of the graph of the equation x+2y = 4
3. Determine if the correspondence is a function
Domain:
a math class
Correspondence: each person’s IQ
Range:
a set of numbers
Is this correspondence a function?
Yes
No
4. Given the function p described by p(x) = x’- x, find p(4
<
>
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5. Determine if the graph is a function.
Yes
No
For problems #6-9, find the domain of the function and write it
in interval form.
6.14)=35
9-X
7.
f(x)-7-7x
8. (1)-VI-T
9. /(x) – V4x – 3
10. Determine whether or not (1, 2) is on the graph of y = 14x=13.
Yes
No
11. Let F(x)= x2 – 1 and G(x) = 6 -*, find (
FG)9).
12 Total profit is defined as total revenue, R(x), minus total cost,
C(x), and is given by the function P(x) = R(x) – C(x). Given
R(X) – 60x – 0.4x and C(x) = 2x +12, find each of the following
a) P(x)=
b) R(80), C(80), and P(80)
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13. Given that hưx)=x+4 and 3(2) – VR7, find (*)”), if it exists.
14. Determine the domain of the quotient of two functions.
f(x)
/(x) – 4x – 9 and g(x) – 9x – 36. Find the domain of g(x)
A. {x|x is a real number and x-36}
B. {x|x is a real number and *–4}
C. {x|x is a real number and x -4}
D. {x|x is a real number and x-9}
15. Find the difference quotient for the function (x) = -4x +7 and
simplify it.
16. Find the domain of the function.
8(x) –
12
is a real number and x
A.
{ebri 위
B. {x|x is a real number and X-0}
c. {v|x is a real number and x – 3}
{afe is
위
D.
is a real number and x 2
17. Determine the domain and the range of the relation, and tell
whether the relation is a function.
{(9,9), (24,-7), (37,9), (9,5), (48,5)}
The domain is:….
The range is:…
Yes
Is this relation a function?
No
18. Determine the symmetries (if any) of the graph of the given
relation.
yer-6
A. It is symmetric to the x-axis.
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The domain is…..
The range is:…
Yes
Is this relation a function?
No
18. Determine the symmetries (if any) of the graph of the given
relation.
y x-6
A. It is symmetric to the x-axis.
B. It is symmetric to the y-axis.
C. It is symmetric to the origin.
D. It is not symmetric to the x-axis, y-axis, or origin.
19. Determine the symmetries (if any) of the graph of the given
relation.
2.x* +6 – y
Choose the correct symmetries of the graph.
A. x-axis, y-axis, and origin.
B. x-axis only
C. x-axis and y-axis only
D. origin only
20. Find the distance between two points.
(2, -8) and (26, 2)
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