Question

The following ordered pairs represent a function.(-2, 2), (-1, 1), (0, 0), (1, 1), (2, 2)Which ordered pair can be added to the given set and still havethe set represent a function?A. (-1, -1)B. (-3, 3)C. (1, 3)1,3D. (2, 1)

Answer 1

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given ordered pairs

`(-2,2)(-1,1)(0,0)(1,1)(2,2)`

It can be seen that the function follows a similar pattern as seen below:

For the negative x coordinates

`(x,y)\Rightarrow(x,-x)`

For the positve x coordinates

`(x,y)\Rightarrow(x,y)`

It can be seen from the given options that the only ordered pair that follows these to scenarios above is:

`(-3,3)`

Hence, the correct ordered pair is:

`(-3,3)`