Question

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) (−5, 7)
B) (9, −5)
C) (−1, −5)
D) (−8, −6)

Answer 1

Answer:

A) (-5,7)

Step-by-step explanation:

Functions and Relations

A set of values A can have a relation with another set B as long as at least one element of A has at least one image in B. Functions are special relations where each element of A (the domain of the function) has one and only one image on B (the range of the function).

By looking at the options, we can see that x=9, x=-8, and x=-1 already have defined values in Y, so if we define another value for any of them the relation will stop being a function. The only possible choice to preserve the function is the option

$\boxed{A)\ (-5,7)}$