The table below shows the square roots of different numbers:

Number
(x) 4 4 9 9
Square root
(y) 2 -2 3 -3

Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

Question

The table below shows the square roots of different numbers:


Number
(x)	4	4	9	9
Square root
(y)	2	-2	3	-3


Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

undeadknight26 · Answer

No it does not represent a function of x because there are no same y points.

undeadknight26 · Answer

@shamil98 @SolomonZelman

undeadknight26 · Answer

@Mertsj

mertsj · Answer

A function is a set of ordered pairs in which no two ordered pairs have the same first number.

mertsj · Answer

Since you have two ordered pairs with first number 4, it cannot be a function

solomonzelman · Answer

$$y=x^2~~~~~OR~~~~\sqrt{y}=~±~x$$

solomonzelman · Answer

the other way sorry.

mertsj · Answer

@SolomonZelman I believe his relation is y = sqrtx not y = x^2

solomonzelman · Answer

ok, MertsJ, uk better....

undeadknight26 · Answer

So that means this represents a function because:
(4,2)(4,-2)(9,3)(9,-3)

mertsj · Answer

What is the first number of your first ordered pair?

mertsj · Answer

@undeadknight26 Are you going to answer or are we done?

undeadknight26 · Answer

The first number is the X.  But if this is a function we are done :D

mertsj · Answer

In your first ordered pair which is (4,2) the first number is 4

mertsj · Answer

In your second ordered pair which is (4,-2) the first number is 4

mertsj · Answer

Well shazaam.  Those two ordered pairs have the same first number.

mertsj · Answer

That means it cannot be a function because at the risk of repeating myself:  A function is a set of ordered pairs in which no two ordered pairs have the same first number.