Question

Let A = (1,2,3,...,100) and R be the relation defined as "is a cube number on A. Write R as a subset of AXA. Also, find the domain and range .​

Answer 1

Answer:

just wait a minute for the ans please

Answer 2

Answer:

R = {(1,1) , (2,8) , (3,27) , (4,64)}

Domain = {1, 2, 3, 4}

Range = {1, 8, 27, 64}

Step-by-step explanation:

The given relation is defined as the Cube Number of A

A = 1, 2, 3, . . . . . . . . . . ,100

We know that between 1 and 100,

The cube numbers are: 1, 8, 27, 64

As 1³ = 1

    2³ = 8

    3³ = 27

    4³ = 64

Therefore, R = {(1,1) , (2,8) , (3,27) , (4,64)}

Domain is the set of all possible values of x

Therefore, x is 1, 2, 3, 4

Therefore, Domain = {1, 2, 3, 4}

Range is the set of all possible values of y

Therefore, y is 1, 8, 27, 64

Therefore, Range = {1, 8, 27, 64}