Question

Let X= {1,2,3,4} and Y= {2,4,6,8,10} and R= {(1,2), (2,4), (3,6) ,(4,8)} show that R is a function and find its domain, co-domain and range?​

Answer 1

Step-by-step explanation:

R is function bcoz elements of X has single image.

domain = 1,2,3,4

range =2,4,6,8

Answer 2

Given

• X= {1,2,3,4}
• Y= {2,4,6,8,10}
• R= {(1,2), (2,4), (3,6) ,(4,8)}

To Find

• show that R is a function
• domain
• co-domain
• range

Solution

we are provided with a relation and we are asked to find if the given relation is a function,

since all the elements that is domain of our relation has only one image we can conclude that the given relation is a function.

domain of the relation,

domain is the set of values that are provided to the function.

domain = {1,2,3,4} = X

range of the relation,

range signify the values that we get when we provide a value to the function,

range = {2,4,6,8}

co-domain is the second set that is in this case is Y , Y= {2,4,6,8,10}