For the following relations to be a function, x cannot be what values? Please enter your values in order from least to greatest.
a. { (-7, 9), (-6, 4), (x, 3), (-1, -4), (0, 7) }
b. {-14, 2), (x, 12), (4, 5), (-2, 1), (-16, 4) }
If you see two or more ordered pairs with the same x value but different y valued, then the relation is NOT a function,
so what can x not be ??
e.g. suppose x = -1 , then we would have (-1,3) and (-1,-4). That would be a no-no
so x ≠ -1
What other values of x have that property?
Do the same for the second set of points.
To determine the values of x for which the given relations are not functions, we need to identify if there are any duplicate x-values or if there are any x-values that do not have a corresponding y-value.
a. {(-7, 9), (-6, 4), (x, 3), (-1, -4), (0, 7)}
In this relation, the x-value is not given for the ordered pair (x, 3). Therefore, there are no specific values of x excluded in this relation.
b. {(-14, 2), (x, 12), (4, 5), (-2, 1), (-16, 4)}
For this relation, the x-value is not given for the ordered pair (x, 12). Similarly to the previous example, there are no specific values of x excluded in this relation.
In both cases, since there are no given restrictions on x, we can conclude that there are no values of x that cannot be used for these relations to be functions.