# 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 told us that we wont be taught it till next...

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 told us that we wont be taught it till next semester thanks Ms. Fey for giving us something we dont know how to do :)

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### 2 Answers

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.

If you try to learn some things on your own you may be able to learn them better. Doing this requires active participation from you as you have to find the material to look up and read through it. And usually it is fun.

Coming back to the question you have:

In statistics, the range of a set of numbers is defined as the value you get when you subtract the smallest number in the set from the largest number in the set.

Here the set of the domains d is (0,1,2). The largest value in this set is 2 and the smallest value is 0. Therefore the range is 2-0=2.