The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the function? a)
(1, 9) b) (8, 9) C) (−3, 3) d) (−6, −5)

Options a,b and c preserves the function

Step-by-step explanation:

Assuming the missing table is the one shown in the attachment

we know that

A function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output

In this problem

If the point (-6,-5) is added, the function is not preserved, because for one input it will have two outputs

so

For x=-6

y=9 and y=-5

If the other points are added the function is preserved, because for one input it will have one output

therefore

Options a,b and c preserves the function

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6