TRUE or FALSE: The relation represents y as a function of x.
{(2,4), (0,2), (−2,7), (−1,4)}
TRUE
TRUE.
A relation represents y as a function of x if each x-value is paired with one and only one y-value. In this case, each x-value is paired with a unique y-value, so the relation {(2,4), (0,2), (−2,7), (−1,4)} represents y as a function of x.
To determine if the relation represents y as a function of x, we need to check if each x-value corresponds to exactly one y-value.
In this case, we have the following pairs of values in the relation:
(2, 4)
(0, 2)
(-2, 7)
(-1, 4)
If we observe closely, each distinct x-value (2, 0, -2, -1) is associated with exactly one y-value (4, 2, 7, 4). Therefore, the relation represents y as a function of x.
In general, to determine if a relation represents y as a function of x, we need to make sure that for each x-value, there is a unique corresponding y-value. If any x-value has more than one y-value, then the relation does not represent y as a function of x.