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)}
x=0
x=0
x=3
x=3
x=-4
x=-4
x=6
x=3 and x=-4
bot I can only pick one
In that case, the value of x that would cause the given relation to NOT be a function is x=3.
To determine if the given relation is a function, we need to check if there are any repeated x-values. If there is any x-value that appears more than once, the relation is not a function.
Let's go through the options one by one:
1. x = 0: Checking the given relation, we can see that 'x = 0' is not present in the relation. Since it is not part of the relation, it does not affect whether the relation is a function or not.
2. x = 3: Again, checking the given relation, we find that 'x = 3' is present as (3, -4). Since 'x = 3' appears only once, it does not cause the relation to be non-functional.
3. x = -4: We can see that 'x = -4' is present in the given relation as (-4, 6). Similar to the previous case, 'x = -4' appears only once and does not make the relation non-functional.
4. x = 6: Looking at the relation, we find that 'x = 6' is also present in the form (6, -9). Similar to previous cases, 'x = 6' appears only once and does not affect the functional nature of the relation.
In conclusion, none of the given values for x cause the relation to not be a function.