Question

For the following relation to be considered a function, x cannot be

(12, 13), (-11, 22), (33, 101), (x, 56)

Answer 1

The given relation is not a function if there exist multiple values of y for a single value of x.

We cannot determine whether the relation is a function or not by looking at the first three pairs.

For the fourth pair, we need to ensure that there is only one value of y for any given value of x. Therefore, x cannot be equal to 12, -11, or 33 because those values have already been assigned a specific y value. If x is equal to any of those values, it would create a situation where there are multiple y values for the same x value, violating the definition of a function.

Therefore, x cannot be equal to 12, -11, or 33.