Answer:
B) {(−2, −3), (−3, −2), (2, 3), (3, 2)}
Step-by-step explanation:
For a function to be valid, each value within the domain of the function must give exactly one value in the range of the function.
That is to say, for a function to be valid, every value of x must give only 1 unique value for y.
So basically if you have one value of x which gives a value for y, and if the same value for x gives you another value of y which is different than the first time, then you do NOT have a function.
With this in mind, we can see that for option B, every unique value for x, gives an equally unique value for y. Hence this is a function.
Lets compare this with option A (for example)
For A, we can see that for (0,0), an input of x=0, gave y=0. But then notice that the next set of coordinates (0,2), an input of x=0 gave y=2!!!! (this contradicts the first set (0,0), hence this is not a function.
you'll see similar contradictions for
option C (2,-1) vs (2,1)
option D (2,2) vs (2,3)
