Question

Which relation is a function of x?

Answer 1

Answer:

The last choice, the graph.

Step-by-step explanation:

The 4 relations are:

A.

A set of ordered pairs.

This is not a function because 2 ordered pairs have the same x-coordinate, 1.

B.

Table.

All ordered pairs have 0 as the x-coordinate. Since the same x-coordinate appears more than once, it is not a function.

C.

x = 3y^2 - 7

This is a function of y, and it is a horizontal parabola, so it does not pass the vertical line test. It is not a function.

D.

The graph.

This is a function because it passes the vertical line test.

Answer: The last choice, the graph.