Determine whether or not the relation is a function.
{(-3, 6), (-2, 7), (-1, 8), (0, 9)}
yes
or
no
It looks like a set of coordinates that would all lie along the same straight line, y = x + 9. I would call that a function; however one could fit any number of points with a polynomial function of high enough order.
This is not a very good question for teaching about functions and practical mathematics.
To determine whether the relation is a function, we need to check if there are any repeated x-values. Let's examine the x-values in the relation:
-3,
-2,
-1,
0
Looking at the list, we can see that each x-value is unique. Since there are no repeated x-values, we can conclude that the relation is a function. Therefore, the answer is:
Yes, the relation is a function.
To determine whether a relation is a function, we need to check if each x-value in the relation corresponds to exactly one y-value.
In this case, the relation is given as {(-3, 6), (-2, 7), (-1, 8), (0, 9)}.
We can see that each x-value (-3, -2, -1, and 0) is paired with a unique y-value (6, 7, 8, and 9).
Therefore, each x-value is associated with only one y-value, making this relation a function.
So the answer is YES.