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User: esterlande prince
In Course: EL Algebra I v10 ( 3092)
Instructor: Deborah Stone
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03.11 Module Three Test
Warning: There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.
Question 1 (Multiple Choice Worth 4 points)
[3.06]
If f(x) = x + 3, find the value of x if f(x) = 9.
6
12
3
9
Question 2 (Multiple Choice Worth 4 points)
[3.06]
If f(x) = −3x + 1, find f(−2).
7
−5
−4
6
Question 3 (Yes/No Worth 3 points)
[3.05]
Is the following relation a function?

Yes
No
Question 4 (Multiple Choice Worth 3 points)
[3.05]
Which of the following does not represent a function?

Question 5 (Multiple Choice Worth 3 points)
[3.01]
Choose the correct statement about the given Venn Diagram.

A total of 17 people were surveyed.
Everyone surveyed like cake and cookies.
A total of 3 people surveyed like cookies.
A total of 14 people surveyed like cake.
Question 6 (Multiple Choice Worth 4 points)
[3.06]
If g(x) = x2 − 3, find g(4).
13
5
16
−3
Question 7 (Multiple Choice Worth 4 points)
[3.03]
If U = {all university students} and subset F = {the female students at the university}, what is F′?
{seniors at the university that are female}
{male university students}
{female professors at the university}
none of the above
Question 8 (Multiple Choice Worth 4 points)
[3.06]
Given the function g(x) = 8x − 2, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two values.
The value of g(−2) is larger than the value of g(4).
The value of g(−2) is the same as the value of g(4).
The value of g(−2) is smaller than the value of g(4).
The values of g(−2) and g(4) cannot be compared.
Question 9 (Multiple Choice Worth 4 points)
[3.03]
Let A = {red, blue, yellow} and let B = {1, 2}. Find A X B.
{(red, 1), (red, 2), (blue, 1), (blue, 2), (yellow, 1), (yellow, 2)}
{red, blue, yellow, 1, 2}
{ }
{1, 2}
Question 10 (Multiple Choice Worth 3 points)
[3.01]
Which of the following is a subset of the set
A: {children between the ages of 3 and 7}
{children over 7}
{children under 3}
{a 10 year old child}
{children between the ages of 4 and 6}
Question 11 (Multiple Choice Worth 3 points)
[3.01]
Which of the following does not represent the set of even integers from 1 to 20?
{2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
{2, 4, 6, �, 16, 18, 20 }
{2, 4, 6, 8, �}
{even integers from 1 to 20}
Question 12 (Multiple Choice Worth 4 points)
[3.05]
Choose the relation with a range of {−2, −1, 2, 4, 5}.
R = {(−2, −1), (2, 2), (4, 5)}
R = {(5, 6), (−1, 3), (−2, 5), (4, 5), (2, 8)}
R = {(5, 4), (2, 2), (−1, −2)}
R = {(−3, 5), (−6, 4), (−2, 2), (5, −2) (0, −1)}
Question 13 (Multiple Choice Worth 4 points)
[3.06] If f(x) = 2x + 8, find f(9).
18
19
8
26
Question 14 (Multiple Choice Worth 4 points)
[3.05]
Which of the following does not represent a function?

x 1 3 5 7
y 7 11 15 11
x −4 −2 0 2
y 3 −1 −5 −9
x −4 −3 −2 −1
y −32 −18 −8 −2
x −3 2 6 2
y 0 1 5 4
Question 15 (Multiple Choice Worth 4 points)
[3.02]
If A = {0, 1, 2, 3} and B = {integers}, what is A ∩ B?
{�−3, −2, −1, 0, 1, 2, 3, �}
{ }
{0}
{0, 1, 2, 3}
Question 16 (Multiple Choice Worth 4 points)
[3.02]
If A = {red, orange, black, grey} and B = {red, orange, yellow, green, blue, indigo, violet},
what is A B?
{red, orange}
{red, orange, black, grey}
{ }
{red, orange, yellow, green, blue, indigo, violet, black, grey}
Question 17 (Multiple Choice Worth 3 points)
[3.05]
The range of the relation below is
x y
−3 10
2 8
2 4
0 4
{4, 8, 10}
{0, 2, −3}
{4, 4, 8, 10}
No range exists.
Question 18 (Multiple Choice Worth 4 points)
[3.05]
Choose the relation with a domain of {−2, −1, 2, 4, 5}.
R = {(−3, 5), (−6, 4), (−2, 2), (5, −2) (0, −1)}
R = {(−2, 1), (2, 2), (4, 5)}
R = {(5, −3), (4, −6), (2, −2), (−2, 5) (−1,0)}
R = {(5, 4), (2, 2), (1, −2)}
Question 19 (Multiple Choice Worth 3 points)
[3.03]
If N = {positive integers} and subset C = {positive even integers}, what is C′?
{1, 3, 5, 7, �}
{ }
{� −7, −5, −3, −1}
{2, 4, 6, 8, �}
Question 20 (Multiple Choice Worth 3 points)
[3.05]
The domain of the following relation: R: {(3, −3), (1, 6), (−5, −4), (−10, 6)} is
{−10, −5, 1, 3}
{−4, −3, 6}
{6}
No domain exists
Question 21 (Multiple Choice Worth 4 points)
[3.02]
If C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and D = {numbers divisible by 6 from 1 to 12}, what is C ∩ D?
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{6}
{ }
{6, 12}
Question 22 (Essay Worth 6 points)
[3.06]
John is going to rent a tent to go camping. The cost to rent a camping tent from Woodland Outfitters is a flat rate of $12.00 plus $2.00 for each night the tent is rented.
Part a. Let x represent the number of nights John keeps the tent and write a cost function, c(x), for the cost to rent a tent from Woodland Outfitters.
Part b. How much will John owe if he uses the tent for three nights?

Question 23 (Essay Worth 6 points)
[3.05]
In your own words, explain what the domain of a relation is and give an example.

Question 24 (Essay Worth 6 points)
[3.02]
Create two sets A and B. State what each set is and find A B.

Question 25 (Essay Worth 6 points)
[3.03]
Let A = {2, 4, 6} and let B = {circle, square}. Find A X B.

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Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The instructions that appear on this site before posting problems say "one question per post." I can quickly tell you copied and pasted this from some algebra site. Read up on the curriculum first (e.g. sets, functions) and try to solve as many questions as possible. Only post the ones you are having trouble with.
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