Question

The set of ordered pairs in the mapping below can be described as which of the following?

x----y
0 - 8

3 - 2

6 - -1

(1) a relation only


(2) a function only


(3) both a relation and a function


(4) neither a relation nor a function

Answer 1

Answer: (3) both a relation and a function

Explanation:

Relation : It is the relation established between two set of values

Function : It is a kind of relation, where only output exist for e ach input.

Generally x values presents input values and y values represents the output values.

The given table :

x - y

0 - 8

3 - 2

6 - 1

Here, each x value is related to a y-value , so its a relation.

Also, there only one unique y-value for each x-values, thus its a function.

Hence, the set of ordered pairs in the mapping below can be described as both a relation and a function.

Answer 2

"(3)"

Explanation:

Relation is a mapping between x-values and y-values. Xs are the domain and Ys are the range.

Given x values (0,3,6) and y-values(8, 2, -1), this is a relationship, so it is a relation.

To check whether a relation is a function or not, we simply see if each unique x value is paired with a unique y value.

Is there any y value that is same for x-values? NO! All are different. So this is a function as well!

Answer choice (3) is right.