{(-1, 2), (0, 2), (5, 2)} is a function.
True
False
True
False
A function must have a unique output value for each input value. In the given set of points, the y-coordinate is always 2 for all x-values. This violates the definition of a function because there are multiple outputs associated with the same input value.
To determine if the given set of points {(x, y)} represents a function, we need to check if each x-coordinate is associated with a unique y-coordinate.
In this case, we have three points: (-1, 2), (0, 2), and (5, 2). Each of these points has the same y-coordinate of 2. This means that for different x-values (-1, 0, and 5), the corresponding y-value is always 2.
Since there are multiple x-values associated with the same y-value, we can conclude that the given set of points does not represent a function. Therefore, the statement "True" (the given set of points is a function) is incorrect. The correct statement is "False" (the given set of points is not a function).