Answer:
Step-by-step explanation:
1. Which of the following does not represent the set of integers divisible by 4 from 1 to 40?
a. {4, 8, 12, 16, 20, 24, 28, 32, 36, 40}
b. {integers divisible by 4 from 1 to 40}
c. {4, 8, 12 …, 32, 36, 40}
d. {4, 8, 12 …}
The answer is D. The set in choice D contains the numbers divisible by 4 from four to infinity. It does not stop at 40 as do the others.
Question 2
Which of the following is a subset of the set
A: {integers divisible by 5 from 1 to 30}
a. {5, 10, 15 …}
b. {integers divisible by 10 from 1 to 50}
c. {30, 35, 40}
d. {10, 15, 20} < this is, because all three are numbers between 1 and 30 divisible by 5
D
Question 3
Choose the correct statement about the given Venn Diagram.
http://i666.photobucket.com/albums/vv26/...
a. A total of 13 people surveyed like cookies.
b. A total of 18 people were surveyed.
c. More of the people surveyed like cookies than cake.
d. Everyone surveyed like cake and cookies.
A. there are 13 people within the "cookies" circle
Question 4
If C = {integers divisible by 2 from 1 to 12} and D = {integers divisible by 4 from 1 to 16}, what is C ∩ D?
a. {4, 8, 12}
b. {2, 4, 6, 8, 10, 12, 16}
c. {8, 12}
d. { }
the symbol ∩ means intersection. that means the one that has all of the terms that are in both sets. the answer to this is A
Question 5
If A = {2, 4, 6, 8, 10, 12, 14} and B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, what is A B?
a. { }
b. {1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10, 12, 14}
c. {2, 4, 6, 8, 10}
d. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14}
Not 100% sure on this one, but AB would contain every term from both sets. I don't think you need doubles, so I believe the answer is D. Sorry.
Question 6
If A = {integers divisible by 2} and B = {integers}, what is A ∩ B?
a. {…−3, −2, −1, 0, 1, 2, 3 …}
b. { }
c. {0}
d. {… −6, −4, −2, 0, 2, 4, 6 …}
D. since all integers divisible by two are also in the set if integers, the answer is just integers divisible by 2, or D
Question 7
If U = {positive integers} and subset M = {positive even integers}, what is M'?
a. {positive integers}
b. {2, 4, 6, 8, …}
c. {1, 3, 5, 7, …}
d. { }
I do not know what the ' is for in M'. Apologies. Assuming it means "not" the answer would be B.
Question 8
If W = {1, 2, 3, 4 …} and subset Z = {positive odd integers}, what is Z'?
a. {1, 2, 3, 4 …}
b. { }
c. {5, 6, 7, 8 …}
d. {2, 4, 6, 8, …}
Same as #7. Assuming ' means "not," the answer is D.
Question 9
Let A = {1, 2, 3} and let B = {4, 5}. Find A X B.
a. {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}
b. {1, 2, 3, 4, 5}
c. { }
d. {1, 2, 3}
A. They should become ordered pairs, like this.
Question 10
The domain of the following relation: R: {(3, 5), (8, 6), (2, 1), (8, 6)} is
a. No domain exists
b. {1, 5, 6}
c. {3, 8, 2, 8}
d. {2, 3, 8}
D. The domain is the set of all "x" values, or the first in the ordered pair.
Question 11
The range of the relation below is
x y
−1 10
2 10
5 4
0 3
a. {3, 4, 10}
b. {−1, 0, 2, 5}
c. {10, 10, 4, 3}
d. No range exists.
A. Range is all Y values.
Question 12
Which of the following does not represent a function?
a. x −2 0 1 −2 9
y 0 −1 −2 −3 −4
b. x 3 6 9 12 18
y 2 4 6 8 10
c. x −3 −1 0 2 4
y −6 −4 −3 −2 −1
d. x 8 7 4 3 1
y −7 −5 −3 −2 −1
A. Because one x value (x = -2) has 2 different corresponding y values.
Question 13
Which of the following does not represent a function?
!!nothing here!!
Question 14
Is the following relation a function?
!!nothing here!!
Yes
No
Question 15
Given the function g(x) = −4x + 5, find g(−4).
a. −11
b. 21
c. 2.25
d. 11
replace x with -4
g(-4) = -4(-4)+5 = 16+5 = 21. B
Question 16
If f(x) = 2x2 − 10, find f(5).
a. 90
b. 10
c. 7.5
d. 40
f(5) = 2(5)^2-10 = 2(25) - 10 = 50-10 = 40. D
Question 17
If h(x) = −5x − 10, find h(−2).
a. −20
b. 1.6
c. −1
d. 0
h(-2) = -5(-2) - 10 = 10-10 = 0. D
Question 18
Given the function f(x) = 2(x + 6), find x if f(x) = 22.
a. 56
b. 5
c. 38
d. 17
f(x) = 2(x+6) = 22
2(x+6) = 22
2x + 12 = 22
2x = 10
x = 5. B
Question 19
Given the function f(x) = −2x + 8, find x if f(x) = 22.
a. −36
b. −7
c. 52
d. −15
f(x) = -2x + 8 = 22
-2x = 14
x = -7
