RELATIONS

What is the Domain?

• {-3, -1, 1, 3, 5, 7, 9}
• {-3, -2, -1, 0, 1, 2, 3}
• -3 ≤ x ≤ 3
• -3 ≤ x ≤ 9

What is the domain?

• {-4, -1, 0, 2, 7}
• {-5, -4, -1, 0, 1, 2, 4, 7}
• {-5, 0, 1, 2, 4}
• {5}

Is it a function?

• It IS a function.

• It IS NOT a function

Does this mapping diagram represent a function?

• No, because an input value goes to multiple output values
• Yes, because each input goes to one and only one output

Is this a function: H={(-1, 0), (-2, -1), (-3, 4), (-2, 5), (6, 7)}?

• Yes

• No

• Maybe

Let R = {(a, a), (b, b), (b, a), (a, b)} be a relation on set A = {a, b, c}. Then, R is

• identity relation

• reflexive

• symmetric

• equivalence

If A = {a, b, c, d} then a relation R = {(a, b), (b, a), (a, a)} on A is

• symmetric and transitive only

• reflexive and transitive only

• symmetric only

• transitive only

Let R be a relation defined on {1,2,3} defined by R ={(1,2) ,(2,1)}. To make it transitive relation which ordered pair should be added ?

• (1,1)

• (2,3)

• (1,3)

• (2,2)

If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by 'x is greater than y'. The range of R is

• {1, 4, 6, 9}

• {4, 6, 9}

• {1}

• none of these

Given set A ={1, 2, 3} and a relation R = { (1, 2), (2, 1) }, the relation R will be

• reflexive if (1, 1) is added

• symmetric if (2, 3) is added

• transitive if (1, 1) is added

• symmetric if (3, 2) is added