Question

Select the correct answer.

Which relation is a function?
A.
{(2, 3), (1, 5), (2, 7)}
B.
{(-1, 5), (-2, 6), (-3, 7)}
C.
{(11, 9), (11, 5), (9, 3)}
D.
{(3, 8), (0, 8), (3, -2)}

Answer 1

Choice B is correct.

Explanation:

We have given four relations.

We have to find the relation which is function.

A function is a relation that assigns each value of input exactly one output.

In the given relations, A relation in Choice B is a function because each input has exactly one output.

{(-1, 5), (-2, 6), (-3, 7)}

In other choices at least one value of input has two outputs.

For example, in choice C the input 11 has two outputs that is 9 and 5.

So B is correct.

Answer 2

Answer:

B. {(-1, 5), (-2, 6), (-3, 7)}

Explanation:

The relation that is a function is the one in which the first coordinate of the ordered pairs do not repeat for two different points.

The correct choice is B. {(-1, 5), (-2, 6), (-3, 7)}

None of the x-coordinates repeated.

The graph of this relation will pass the vertical line test.