Question

Which graph shows a set of ordered pairs that represent a function?

Answer 1

The answer would be C.

Answer 2

Graph C is the answer.

Explanation:

To solve this question we should know that a set of ordered pairs represent a function when their x values do not have two values of y.

Means if we have a set of pairs like (1, 2), (1, 3), (2, 4) then x values of the pairs are 1, 1, 2 and y values are 2, 3, 4.

Here for x = 1 we are getting two values of y = 2, 3 then these pairs do not define a function.

Now we analyze the graphs.

For graph A.

At x = 2 we are getting two values of y = -1, -3. Therefore graph is not for a function.

For graph B.

At x = 4 we are getting y = 4, -3. Therefore graph is not of a function.

For graph C.

For every value of x we are getting different value of y. Therefore this graph represents a function.

For Graph D.

For x = -2 we get y = 1, -1 therefore this graph doesn't represents a function.