Question

write the relation R={(x,y):y=2x-1} on the set A={1,2,3,4,5,6,7} in roster form. write the domain and range of R​

Answer 1

Step-by-step explanation:

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Relations and Functions

NCERT Solution

Exercise 2

Question 1: Let A = {1, 2, 3, . . . . 14}.

Define a relation R from A to A by

R

=

{

x

,

y

}

:

3

x

−

y

=

0

,where x,y ∈A}.

Write down its domain, co-domain and range.

Solution: By definition of the relation,

R = {(1, 3), (2, 6), (3, 9), (4, 12)}

Hence, the corresponding arrow diagram is as follows:

Relation and Function Exercise 2_1

The set of first element, i.e. the domain = {1, 2, 3, 4}

Similarly, the set of second elements, i.e. the range = {3, 6, 9, 12}

And the co-domain = {1, 2, 3, ….. 14}

Answer 2

Answer:

Domain of R = elements of set A

= {1,2,3,4,5,6,7}

Range of R = {1,3,5,7,9,11,13}

Step-by-step explanation:

By the given definition of relation,

R ={(x,y):y=2x-1}

y=2x-1= 2(1)-1= 1

y=2(2)-1=3

...

...

we have, R = {(1,1),(2,3),(3,5),(4,7),(5,9),(6,11),(7,13)} in roster form.