{(1, 2), (1, −1), (1, 5), (1, 8)}
is a function. (true, false, not enough information)
True
To determine if the given set of ordered pairs {(1, 2), (1, -1), (1, 5), (1, 8)} is a function, we need to check if each input (x-value) corresponds to a unique output (y-value).
In this case, the x-value is always 1. And for a given x-value, if there is only one corresponding y-value, then the set is a function.
In the given set, for x = 1, we have y = 2, y = -1, y = 5, and y = 8. Since each x-value corresponds to a unique y-value, the given set is a function.
Therefore, the statement "{(1, 2), (1, -1), (1, 5), (1, 8)} is a function" is true.
To determine whether the given set {(1, 2), (1, −1), (1, 5), (1, 8)} is a function or not, we need to check if each input has a unique output.
A function is a relation where each input has exactly one output. In other words, no two ordered pairs can have the same first element (input) but different second elements (output).
In the given set, the first element of each ordered pair is the number 1, which means the input is the same for all the ordered pairs. However, the second elements (outputs) are different for each ordered pair.
Since multiple ordered pairs have the same input but different outputs, the given set {(1, 2), (1, −1), (1, 5), (1, 8)} is not a function.