Question

Can somebody please help me here

Answer 1

All coordinates on the coordinate plane take the form (a, b), where a is the x value and b is the y value.

In order for a resulting graph to be a function, the graph must pass the vertical line test, which means that there cannot be more than one y value for one x value.

Thus, there cannot be any additional y values on the following values of x:

-3, -2, 1, and 2

Don't know where these numbers came from? I looked at the graph and listed every taken x value.

If any of the choices has any of the listed numbers as an x value, then it can be eliminated since it cannot be the answer.

After going through the process of elimination, we are left with the first choice, (-1, 2). This is your answer.

Have an awesome day!

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Answer 2

The ordered pairs already plotted have x-coordinates: -3, -2, 1, and 2.

A function cannot have two ordered pairs with the same x-coordinate.

The answer cannot have -3, -2, 1, or 2 as the x-coordinate.

Answer: First choice (-1, 2)