Question

The given arrow diagram shows a relation R from set M to set N. Write this

relation in (i) set-builder form (ii) roster form. What are its domain and range?
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CLASS 11 MATH PORTION RELATIONS AND FUNCTIONS​

Answer 1

Given: Arrow diagram shows a relation R from set M to set N.

To find: relation in (i) set-builder form (ii) roster form (iii) domain (iv) range.

Solution:

• Now we have given two sets M and N, which has elements as follows:

               M = {8,12,20,24,36}

               N = {2,3,5,6,7}

• But we can observe that mapping is done only for 4 elements, so sets become:

               M = {8,12,20,24}

               N = {2,3,5,6}

• (i) In set-builder form we can write it as:

               R = {(x,y): y = x/4 ; x∈M}

• (ii) In roster form we can write it as:

               R = {(8,2) , (12,3) , (20,24) , (24,6)}

• (iii) Domain can be written as:

               Domain of R = {8,12,20,24}

• (iv) Range can be written as:

               Range of R = {2,3,5,6}

Answer:

So,

relation in (i) set-builder form =  R = {(x,y): y = x/4 ; x∈M}

                (ii) roster form = R = {(8,2) , (12,3) , (20,24) , (24,6)}

               (iii) domain = {8,12,20,24}

               (iv) range = {2,3,5,6}