Question

If f=(2,3),(5,7),(5,4),(9,1), what is the range

Answer 1

The range of f is {1 , 3 , 4 , 7}

Explanation:

* Lets revise the relation

- f is a relation between x and y

- x is the input of the relation

- y is the output of the relation

- x is called the domain of the relation

- y is called the range of the relation

- The range is the corresponding value to x

* Now lets solve the problem

∵ f = {(2 , 3) , (5 , 7) , (5 , 4) , (9 , 1)

∵ x = {2 , 5 , 9}

∴ The domain of f is {2 , 5 , 9}

∵ y = {1 , 3 , 4 , 7}

∴ The range of f is {1 , 3 , 4 , 7}

Answer 2

Answer:
`Range:`{
`1,3,4,7`}

Explanation:

We know that, by definition, the Domain is the set of all the x-coordinates of the ordered pairs and the Range is the set of all the y-coordinates of the ordered pairs.

Therefore, given
`f=(2,3),(5,7),(5,4),(9,1)`, you can observe that the set of all second elements of ordered pairs (the values of "y") is the following:

{
`3,7,4,1`}

Therefore, we can conclude that if
`f=(2,3),(5,7),(5,4),(9,1)` , then the range is:

`Range:`{
`1,3,4,7`}