Question

Let A={1,2,3,..,100} and R be the relation defined as “is cube of” on AFind the domain
and range of R.​

Answer 1

Answer:

Give number

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Answer 2

Domain = {1,2,3,4}

Range= {1,8,27,64}

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

It is given that A is

A = {1,2,3,..,100} and there R is the relation (ordered pair) defined as "is cube of" on A.

The cubes of the number should fall between 1 to 100.

The perfect cubes which satisfy these numbers are 1, 8, 27 and 64 and cube roots of these numbers are 1, 2, 3 and 4.

So, the domain set should contain 1,2,3 and 4 whereas the range set should contain 1, 8, 27 and 64. Thus,

Domain = {1,2,3,4}

Range= {1,8,27,64}

and the range of R is R={ (1,1),(2,8),(3,27),(4,64)}