Which of the following values could be used for x and would cause the following relation to NOT be a function?
{(2,3), (-2,6), (3,-4), (x, 2), (5,-9)}
Responses
x=3
x=3
x=6
x=6
x=0
x=0
x=-4
x=3
To determine which value of x would cause the given relation to not be a function, we need to check if there are any repeated x-values. In a function, each x-value can only have one corresponding y-value.
Looking at the given relation: {(2,3), (-2,6), (3,-4), (x, 2), (5,-9)}, we see that all the x-values are unique except for x=3. The pair (3, -4) and (x, 2) both have x=3.
Therefore, x=3 would cause the relation to not be a function.
To determine whether the given relation is a function or not, we need to check if each x-value in the relation has a unique corresponding y-value.
In this case, the relation consists of the following pairs:
{(2, 3), (-2, 6), (3, -4), (x, 2), (5, -9)}
To find the x-values that would cause the relation to NOT be a function, we need to identify any repeated x-values. If there are any repeated x-values, it means that the relation fails the vertical line test, and therefore is not a function.
Looking at the relation, the x-values are: 2, -2, 3, x, 5
We can see that x is already a part of the relation, so if we choose a value for x that is equal to any of the other x-values (2, -2, 3, or 5), it would result in a repeated x-value.
So, the values that could be used for x and would cause the relation to NOT be a function are: x = 2, x = -2, x = 3, and x = 5.