Nt1330 Unit 3 Assignment 1

Student
1
2
3
4
5
Total
User, Guest
C
B
D
D
B
(4/5)
1. Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1? A. (1, 1)
B. (1, 4)
C. (4, 1)
D. (4, 4)
Correct Answer: C — (4, 1)
Explanation: (4,1) corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1. The first value in an ordered pair is the x-coordinate, which corresponds to the input column on a mapping diagram. The second value is the y-coordinate, which corresponds to the output column.
You answered this question correctly!
Back to Top
2. What is the domain of the relation {(3, 4), (4, 3), (4, 4), (5, 2)}?
A. {2, 3, 4, 5}
B. {3, 4, 5}
C. {4}
D. {2, 3, 4}
Correct Answer: B — {3, 4, 5}
Explanation: {3, 4, 5} is the domain of the relation {(3, 4), (4, 3), (4, 4), (5, 2)}.
The domain is the set of input values in a relation. The input values are the x-coordinates in the ordered pairs.
You answered this question correctly!
Back to Top
3. Which of the following ordered pairs could be in a relation that has a range of {2, 4, 5}?
A. (2, 3), (4, 1), (5, 2)
B. (5, 3), (5, 4), (5,
2)
C. (4, 3), (5, 5), (5, 2)
D. (3, 4), (5, 5), (5, 2)
Correct Answer: D — (3, 4), (5, 5), (5, 2)
Explanation: (3, 4), (5, 5), (5, 2) are ordered pairs that could be in a relation with a range of {2, 4, 5}. The range is the set of output values in a relation, which corresponds to the y-coordinates in the ordered pairs.
You answered this question correctly!
Back to Top
4. Which of the following relations represents a function?
A. {(1, 1), (1, 2), (1, 3)}
B. {(1, 1), (2, 1), (3, 1)}
C. {(1, 1), (2, 2), (3, 3)}
D. Both B and C.
Correct Answer: D — Both B and C.
Explanation: Both B and C are functions. For each input in the relations {(1, 1), (2, 1), (3, 1)} and {(1, 1), (2, 2), (3, 3)}, there is only one output. Therefore, these relations are functions.
You answered this question correctly!
Back to Top
5. Which of the following could NOT possibly be true for a function?
A. Domain is {2}, Range is {2}
B. Domain is {2, 3}, Range is {2}
C. Domain is {2}, Range is {2, 3}
D. Domain is {2, 3}, Range is {2, 3}
Correct Answer: C — Domain is {2}, Range is {2, 3}
Explanation: A function could not have a domain of {2} and a range of {2, 3}. If you create a relation {(2, 2), (2, 3)} that has this domain and range, you will see that there is more than one y-coordinate for the same x-coordinate.
You answered this question incorrectly; your answer was B.