A function is initially defined by the set of coordinate pairs ((-3,7), (1,5), (4,13)). Which coordinate pair below, if added to this set, prevents the set from representing a function? 1) (2,5) 2) (5,0) 3) (-1,8) 4) (1,4)

We conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Step-by-step explanation:

Given the initial function

{(-3, 7), (1, 5), (4, 13)}

We know that the given function indicates the relation in which each input has only one output.

i.e.

at x = -3, y = 7

at x = 1, y = 5

at x = 4,y = 13

Thus, it represents a function, becaus there is no repetitive inputs.

The only way the above function will no longer be a function we bring a point, adding of which makes the initial function having repetitive inputs.

i.e. if we add (1, 4) to the initial set, the relation will no longer be a function.

because induction of the point (1, 4) causes repetitive inputs because x = 1 is already present in the set.

so adding the point (1, 4)

{(-3, 7), (1, 4), (1, 5), (4, 13)}

Now, check the points (1, 4) and (1, 5).

It is clear that there are multiple outputs for x = 1. In other words, the input is no more a unique value as x=1 has been repeated multiple times.

Therefore, we conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.