{(1, 8), (2, 8), (3, 8), (4,8)} is a function
True or False
True
False.
In order for a set of ordered pairs to be a function, each input (x-value) must correspond to exactly one output (y-value). However, in the given set {(1, 8), (2, 8), (3, 8), (4, 8)}, all the inputs (x-values) have the same output (y-value), which is 8. Therefore, it violates the definition of a function and is not a function.
To determine if {(1, 8), (2, 8), (3, 8), (4,8)} is a function, we need to check if each input (x-coordinate) is paired with exactly one output (y-coordinate).
In this case, all the x-coordinates are different, but they are all paired with the same y-coordinate, which is 8.
Since there is only one unique output for all the inputs, {(1, 8), (2, 8), (3, 8), (4,8)} is indeed a function.
Therefore, the answer is True.