is a function {(1, 2), (1, −1), (1, 5), (1, 8)}
No, the given set {(1, 2), (1, −1), (1, 5), (1, 8)} is not a function. It is a relation because it assigns multiple output values (2, -1, 5, and 8) to the same input value (1). In order for it to be a function, each input value must have a unique output value.
The given set of points {(1, 2), (1, −1), (1, 5), (1, 8)} does not represent a function because there are multiple y-values assigned to the same x-value (1). In a function, each x-value should have only one corresponding y-value.
The set of points you provided {(1, 2), (1, -1), (1, 5), (1, 8)} is not a function because for the same input value of 1, there are multiple output values. In a function, each input value should correspond to exactly one output value.
To determine if a set of points is a function, you need to check whether there are any repeated x-values with different y-values. If all the x-values are unique or have the same y-value, then the set of points represents a function.
In this case, the x-value 1 is repeated, but with different y-values: 2, -1, 5, and 8. Therefore, it does not satisfy the definition of a function.