Question

It is a set of ordered pairs (x, y) such that no two ordered pairs have the same x-
value but different y-values.
a. relation
c. domain
b. function
d. range​

Answer 1

Answer:

It is a function

Step-by-step explanation:

The fundamental property of a function is that for a given input value , it can't have more than one output value.

The same is applicable here

You can consider X as the input value and Y as the output value that you get after performing a set of operations on X(i.e function) and since X can't be same for 2 different values of Y , (i.e the given condition) , it should be a function

Answer 2

Given: It is a set of ordered pairs (x, y) such that no two ordered pairs have the same x-  value but different y-values.

To check: which of the option is correct.

Solution:

Know that, A function is a special type of relation . A relation is just a set of ordered pairs$(x,y)$ .

For eg:

If $\[\left( {{x_1},{y_1}} \right)\,and\,\left( {{x_2},{y_2}} \right)\]$ are both in relation such that, $\[{x_1} = {x_2}\]$ but $\[{y_1} \ne {y_2}\]$ is not possible.

Understand that, A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Hence. the correct answer is option b. i.e., function.