#8 or 9.
Determine if the set of ordered pairs represents a function. Explain why or why not. (2 points)
{(-4, 4), (-2, 2), (0, 0), (-2, -2)}
If a relation has two or more points in which the same x yields different values of y, then it is NOT a function.
or
To be a function you cannot have two or more points lying on the same vertical line,
visualize where (-2,2) and (-2, -2) would be on a grid, and reach a conclusion.
@ reiny, is that the explanation? and when you put yields do you mean fields?
is it a function?
yes, I meant yields, like produce
Some text books show a diagram of a "function machine" where you have
an input , the x, and an output, the y.
So an input of some x value yields or produces an output, the y.
Looking back at my explanation, it seems obvious what conclusion I had drawn.
Read it over please.
(-2, 2), (-2, -2).
The 1st point says : when X = -2, Y = positive 2.
The 2nd point says: when X = -2, Y = negative 2.
Well, we cannot have it both ways.
Y can be +2 or -2, but not both.
Therefore, it is NOT a function.
what would it be if the ordered pair was {(-4,4),(-2,2),(0,0),(-3,-2)}? I think it might be a function but im not sure.
To determine if the set of ordered pairs represents a function, we need to check if each x-value in the pairs corresponds to exactly one y-value. In other words, there should not be any repeated x-values.
Let's examine the given set of ordered pairs: {(-4, 4), (-2, 2), (0, 0), (-2, -2)}
We can see that the set contains two pairs with the x-value of -2: (-2, 2) and (-2, -2). Since there are two different y-values associated with the x-value of -2, namely 2 and -2, the set does not represent a function.
In conclusion, the set of ordered pairs does not represent a function because it contains repeated x-values.