Find the range of the 3 domains given d: {0,1,2}Are teacher gave us a review and told us to do it for are test tomorrow but the funny thing is she...

In mathematics ,  a relation is  over a set of elements A
is identified with  elements in another set B.

Let R be a
relation from set A to B. Then, R is a subset of A X B . Then the set of all first
elements is called the domain of the relation  R and the secod set od elements in this
relation in B is called range or image.

Your teacher has
give you only the domain d : { 0, 1,2 } and has not given you any
range.

You should find three realtion and find 3 ranges 
over the domain d: {0 , 1 , 2}

So let  A = { d:  0 ,1
,2}

Let  the relation R = f(3d). Then B = { 3*0 ,  3*1 ,
3*2} = {0 , 3, 6 } is the range.

Now let us find the range
if the relation R = d^3. Then B = (0^3 , 1 ^3 , 2^3} =  {0 , 1 ,8} is the
range.

We shall have one more range: Let the relation be, R
= (d+5)^2.

Then for each of the element in the domain A =
{d: 0 ,1, 2 }, the range set is B = { (0+5)^2 , (1+5)^2 , (2+5)^2 } = {25 , 36 ,
49}

Finally the term 'range' is also there in  Statistics
where the variable characteristics may be hieght of students  or marks obtained by
students etc. Here the range is defined as the difference between the highest and the
lowest values of the variable. But  term range of Statistics and the term in
mathematics  are different in meaning and the concepts are also
different.