Question

the graph represents a function. which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function? (-5,2) (2, - 5) (2, - 1) (-2,5)

Explanation:

Step1: Recall function - definition

A function has one output (y - value) for each input (x - value). That is, no two points can have the same x - coordinate.

Step2: Analyze given points

We need to check the x - coordinates of the given points and the options. Without seeing the exact x - coordinates of the four given points, we know that we should avoid an x - value that is already present among the four points.

Step3: Check each option

• For the point (-5,2), if - 5 is not the x - coordinate of any of the four given points, it can be part of the function.
• For the point (2, - 5), if 2 is already the x - coordinate of one of the four given points, it cannot be part of the function.
• For the point (2, - 1), if 2 is already the x - coordinate of one of the four given points, it cannot be part of the function.
• For the point (-2,5), if - 2 is already the x - coordinate of one of the four given points, it cannot be part of the function.

Assuming that the x - coordinates of the four given points are not - 5, the point (-5,2) can be plotted so that the graph still represents a function.

Answer:

(-5,2)