Relation & Function (Group 7)

The set of all second elements of the ordered pairs in a relation R from a set A to a set B is called the … of the relation R.

• Domain

• Codomain

• Function

• Range

The set of all first element of the ordered pairs in a relation R from a set A to a set B is called the … of the relation R.

• Domain

• Codomain

• Function

• Range

The whole set B in a relation R from a set A to a set B is called the … of the relation R.

• Domain

• Codomain

• Function

• Range

Which of the following is the empty set?

• { }

• {1,2,3}

• {5}

• {1,2,3,4,5,6,7,8,9}

What is the definition of universal relation?

• A relation defined such all elements in a set related to itself

• A relation is an empty relation if it has no elements

• A relation in which all elements of set are mapped to other element of set

• a binary relation R defined on a set A for elements a, b ∈ A

if (a, b) ∈ R, then (b, a) ∉ R, for all a, b ∈ A. Is the Definition of ?

• Asymmetric Relation

• Anti-symmetric Relation

• Transitive Relation

• Symmetric Relation

if (a, b) ∉ R, then (b, a) ∉ R and a ≠ b. Is the Definition of ?

• 
  Asymmetric Relation

• Anti-symmetric Relation

• Transitive Relation

• Symmetric Relation

if (a, b) ∈ R, then (b, c) ∈ R, and (a, c) ∈ R for a, b, c ∈ A. Is the definition of ?

• Asymmetric Relation

• Anti-symmetric Relation

• Transitive Relation

• Symmetric Relation

if (a, b) ∈ R, then (b, a) ∈ R, for all a, b ∈ A. Is the definition of ?

• Asymmetric Relation

• Anti-symmetric Relation

• Transitive Relation

• Symmetric Relation

if domain A = { 1, 2, 3, 4 }, which one of this relation that are Equivalence

• {(1,1), (2,1), (3,3), (1,2), (2,3), (1,3), (2,2), (3,2), (3,1)}

• {(1,2), (1,3), (2,1), (2,3), (3,1), (3,2), (1,1), (2,2), (3,3), (4,4)}

• {(1,2), (1,3), (1,4), (2,1), (2,3), (3,1), (3,2), (1,1), (2,2), (3,3), (4,4)}

• {(1,2), (1,3), (2,1), (2,3), (2,4), (3,1), (3,2), (1,1), (2,2), (3,3)}