Question

A relation R is given by the set {(x,y)/y=x+3,x belongs to {0,1,2,3,4 ,5)} determine its domain and range​

Answer 1

SOLUTION

GIVEN

A relation R is given by the set

{(x,y)/y=x+3,x belongs to {0,1,2,3,4 ,5)}

TO DETERMINE

The domain and range

EVALUATION

By the given condition

$y = x + 3$

For x = 0 , y = 0 + 3 = 3

$For \: \: x = 0 , y = 0 + 3 = 3$

$For \: \: x = 1 , y = 1+ 3 = 4$

$For \: \: x = 2 , y = 2 + 3 = 5$

$For \: \: x = 3 , y = 3 + 3 = 6$

$For \: \: x = 4 , y = 4+ 3 = 7$

$For \: \: x = 5 , y = 5 + 3 = 8$

So Domain

$= \{ \:0 , 1,2, 3 ,4 ,5\}$

Range

$= \{ \:3 , 4,5, 6,7 ,8\}$

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