,COS1501 Assignment 3 (COMPLETE ANSWERS) 2024 (653581)
- DUE 22 July 2024 ; 100% TRUSTED Complete, trusted
solutions and explanations.
Question 1 Complete Marked out of 2.00
Learner P tells Learner K that if she does not hand over her iPhone, she will tell the teacher that
Learner K was cheating on the test."
Now, for Question 1, we can infer the question is likely about identifying the type of behavior
exhibited by Learner P and how it should be addressed.
Question 1: What type of behavior is Learner P exhibiting, and how should it be addressed
by the school authorities?
Learner P is exhibiting bullying behavior by threatening Learner K to hand over
her iPhone. This type of behavior is inappropriate and should be addressed
promptly by the school authorities to ensure a safe and respectful environment for
all students.
Steps the school authorities should take:
1. Investigate the Incident:
o The school authorities should gather information from both Learner P
and Learner K, as well as any witnesses to the incident, to understand
what happened.
2. Provide Support to Learner K:
o Offer emotional support and counseling to Learner K to ensure she
feels safe and supported.
o Reassure Learner K that bullying is not tolerated and that the school
will take appropriate action.
3. Address Learner P's Behavior:
o Discuss the incident with Learner P to understand her perspective and
explain why her behavior is unacceptable.
o Implement appropriate disciplinary actions according to the school's
anti-bullying policy, which may include detention, parental
notification, or other consequences.
, oProvide counseling or behavioral interventions to help Learner P
understand the impact of her actions and learn positive ways to
interact with peers.
4. Educate Students:
o Conduct school-wide programs or workshops on bullying prevention
and the importance of respectful behavior towards others.
o Encourage a culture of kindness and respect through ongoing
education and awareness campaigns.
5. Involve Parents:
o Inform the parents of both learners about the incident and the steps
taken by the school.
o Encourage parental involvement in addressing and preventing
bullying behavior.
By taking these steps, the school can effectively address the bullying behavior and
work towards creating a safer and more supportive environment for all students.
Question 2 Complete Marked out of 2.00 QUIZ Suppose U = {1, 2, 3, 4, 5, a,
b, c} is a universal set with the subset A = {a, b, c, 1, 2, 3, 4}. Which one of the
following relations on A is NOT functional? a. {(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)}
b. {(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)} c. {(a, a), (c, c), (2, 2), (3, 3), (4, 4)}
d. {(a, c), (b, c), (1, 3), (3, 3)} Suppose U = {1, 2, 3, 4, 5, a, b, c} is a universal
set with the subset A = {a, b, c, 1, 2, 3, 4}. Which one of the following
alternatives represents a surjective function from U to A? a. {(1, 4), (2, b), (3,
3), (4, 3), (5, a), (a, c), (b, 1), (c, b)} b. {(a, 1), (b, 2), (c, a), (1, 4), (2, b), (3, 3),
(4, c)} c. {(1, a), (2, c), (3, b), (4, 1), (a, c), (b, 2), (c, 3)} d. {(1, a), (2, b), (3, 4),
(4, 3), (5, c), (a, a), (b, 1), (c, 2)}
Question 2 (Part 1):
Given U={1,2,3,4,5,a,b,c}U = \{1, 2, 3, 4, 5, a, b, c\}U={1,2,3,4,5,a,b,c} and
subset A={a,b,c,1,2,3,4}A = \{a, b, c, 1, 2, 3, 4\}A={a,b,c,1,2,3,4}, we need to
determine which relation on AAA is NOT functional.
A relation is functional if every element of the domain is related to exactly one
element in the codomain.
Let's evaluate each option:
, a. {(1,3),(b,3),(1,4),(b,2),(c,2)}\{(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)\}{(1,3),(b,3),
(1,4),(b,2),(c,2)}
111 is related to 333 and 444 (two different outputs).
This relation is NOT functional because 111 maps to more than one element.
b. {(a,c),(b,c),(c,b),(1,3),(2,3),(3,a)}\{(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)\}
{(a,c),(b,c),(c,b),(1,3),(2,3),(3,a)}
Each element in AAA maps to exactly one element.
This relation is functional.
c. {(a,a),(c,c),(2,2),(3,3),(4,4)}\{(a, a), (c, c), (2, 2), (3, 3), (4, 4)\}{(a,a),(c,c),(2,2),
(3,3),(4,4)}
Each element in AAA maps to exactly one element.
This relation is functional.
d. {(a,c),(b,c),(1,3),(3,3)}\{(a, c), (b, c), (1, 3), (3, 3)\}{(a,c),(b,c),(1,3),(3,3)}
Each element in AAA maps to exactly one element.
This relation is functional.
Therefore, the relation that is NOT functional is:
Answer: a. {(1,3),(b,3),(1,4),(b,2),(c,2)}\{(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)\}{(1,3),
(b,3),(1,4),(b,2),(c,2)}
Question 2 (Part 2):
We need to determine which alternative represents a surjective (onto) function
from UUU to AAA. A function is surjective if every element of the codomain
AAA has at least one element from the domain UUU mapping to it.
Let's evaluate each option:
a. {(1,4),(2,b),(3,3),(4,3),(5,a),(a,c),(b,1),(c,b)}\{(1, 4), (2, b), (3, 3), (4, 3), (5, a),
(a, c), (b, 1), (c, b)\}{(1,4),(2,b),(3,3),(4,3),(5,a),(a,c),(b,1),(c,b)}
Codomain elements in AAA: {a,b,c,1,2,3,4}\{a, b, c, 1, 2, 3, 4\}
{a,b,c,1,2,3,4}
- DUE 22 July 2024 ; 100% TRUSTED Complete, trusted
solutions and explanations.
Question 1 Complete Marked out of 2.00
Learner P tells Learner K that if she does not hand over her iPhone, she will tell the teacher that
Learner K was cheating on the test."
Now, for Question 1, we can infer the question is likely about identifying the type of behavior
exhibited by Learner P and how it should be addressed.
Question 1: What type of behavior is Learner P exhibiting, and how should it be addressed
by the school authorities?
Learner P is exhibiting bullying behavior by threatening Learner K to hand over
her iPhone. This type of behavior is inappropriate and should be addressed
promptly by the school authorities to ensure a safe and respectful environment for
all students.
Steps the school authorities should take:
1. Investigate the Incident:
o The school authorities should gather information from both Learner P
and Learner K, as well as any witnesses to the incident, to understand
what happened.
2. Provide Support to Learner K:
o Offer emotional support and counseling to Learner K to ensure she
feels safe and supported.
o Reassure Learner K that bullying is not tolerated and that the school
will take appropriate action.
3. Address Learner P's Behavior:
o Discuss the incident with Learner P to understand her perspective and
explain why her behavior is unacceptable.
o Implement appropriate disciplinary actions according to the school's
anti-bullying policy, which may include detention, parental
notification, or other consequences.
, oProvide counseling or behavioral interventions to help Learner P
understand the impact of her actions and learn positive ways to
interact with peers.
4. Educate Students:
o Conduct school-wide programs or workshops on bullying prevention
and the importance of respectful behavior towards others.
o Encourage a culture of kindness and respect through ongoing
education and awareness campaigns.
5. Involve Parents:
o Inform the parents of both learners about the incident and the steps
taken by the school.
o Encourage parental involvement in addressing and preventing
bullying behavior.
By taking these steps, the school can effectively address the bullying behavior and
work towards creating a safer and more supportive environment for all students.
Question 2 Complete Marked out of 2.00 QUIZ Suppose U = {1, 2, 3, 4, 5, a,
b, c} is a universal set with the subset A = {a, b, c, 1, 2, 3, 4}. Which one of the
following relations on A is NOT functional? a. {(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)}
b. {(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)} c. {(a, a), (c, c), (2, 2), (3, 3), (4, 4)}
d. {(a, c), (b, c), (1, 3), (3, 3)} Suppose U = {1, 2, 3, 4, 5, a, b, c} is a universal
set with the subset A = {a, b, c, 1, 2, 3, 4}. Which one of the following
alternatives represents a surjective function from U to A? a. {(1, 4), (2, b), (3,
3), (4, 3), (5, a), (a, c), (b, 1), (c, b)} b. {(a, 1), (b, 2), (c, a), (1, 4), (2, b), (3, 3),
(4, c)} c. {(1, a), (2, c), (3, b), (4, 1), (a, c), (b, 2), (c, 3)} d. {(1, a), (2, b), (3, 4),
(4, 3), (5, c), (a, a), (b, 1), (c, 2)}
Question 2 (Part 1):
Given U={1,2,3,4,5,a,b,c}U = \{1, 2, 3, 4, 5, a, b, c\}U={1,2,3,4,5,a,b,c} and
subset A={a,b,c,1,2,3,4}A = \{a, b, c, 1, 2, 3, 4\}A={a,b,c,1,2,3,4}, we need to
determine which relation on AAA is NOT functional.
A relation is functional if every element of the domain is related to exactly one
element in the codomain.
Let's evaluate each option:
, a. {(1,3),(b,3),(1,4),(b,2),(c,2)}\{(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)\}{(1,3),(b,3),
(1,4),(b,2),(c,2)}
111 is related to 333 and 444 (two different outputs).
This relation is NOT functional because 111 maps to more than one element.
b. {(a,c),(b,c),(c,b),(1,3),(2,3),(3,a)}\{(a, c), (b, c), (c, b), (1, 3), (2, 3), (3, a)\}
{(a,c),(b,c),(c,b),(1,3),(2,3),(3,a)}
Each element in AAA maps to exactly one element.
This relation is functional.
c. {(a,a),(c,c),(2,2),(3,3),(4,4)}\{(a, a), (c, c), (2, 2), (3, 3), (4, 4)\}{(a,a),(c,c),(2,2),
(3,3),(4,4)}
Each element in AAA maps to exactly one element.
This relation is functional.
d. {(a,c),(b,c),(1,3),(3,3)}\{(a, c), (b, c), (1, 3), (3, 3)\}{(a,c),(b,c),(1,3),(3,3)}
Each element in AAA maps to exactly one element.
This relation is functional.
Therefore, the relation that is NOT functional is:
Answer: a. {(1,3),(b,3),(1,4),(b,2),(c,2)}\{(1, 3), (b, 3), (1, 4), (b, 2), (c, 2)\}{(1,3),
(b,3),(1,4),(b,2),(c,2)}
Question 2 (Part 2):
We need to determine which alternative represents a surjective (onto) function
from UUU to AAA. A function is surjective if every element of the codomain
AAA has at least one element from the domain UUU mapping to it.
Let's evaluate each option:
a. {(1,4),(2,b),(3,3),(4,3),(5,a),(a,c),(b,1),(c,b)}\{(1, 4), (2, b), (3, 3), (4, 3), (5, a),
(a, c), (b, 1), (c, b)\}{(1,4),(2,b),(3,3),(4,3),(5,a),(a,c),(b,1),(c,b)}
Codomain elements in AAA: {a,b,c,1,2,3,4}\{a, b, c, 1, 2, 3, 4\}
{a,b,c,1,2,3,4}
