Question

A relation R is given by the set R= {(x,y)/y = x+2, ∀ ∈ x and y ∈ Y},
where x ∈ {0,1,2,3}. Determine its Domain and Range.

Answer 1

Answer:

Step-by-step explanation:

y=x+3

and x belongs to 0,1,2,3,4,5

therefore putting all the values of x in above equation to get the values of y

1: y=0+3

y=3

2: y=1+3

y=4

3: y= 2+3

y=5

4: y= 3+3

y=6

5: y= 4+3

y=7

6: y= 5+3

y=8

domain means the values we put in the equation to get the values of other variable

while range means the values we get after putting the values.

hence, domain={0,1,2,3,4,5)

range=(3,4,5,6,7,8).