is a function {(1, 3), (2, 5), (7, 9), (2, 12)}
No, the given set {(1, 3), (2, 5), (7, 9), (2, 12)} is not a function. A function cannot have the same x-value (input) mapped to multiple different y-values (outputs). In this case, the x-value of 2 is mapped to both 5 and 12.
The given set of points does not represent a function because there are multiple y-values assigned to the same x-value. Specifically, the point (2,5) and (2,12) have the same x-value of 2, but different y-values. In a function, each x-value can only be paired with one y-value.
No, the given set of points {(1, 3), (2, 5), (7, 9), (2, 12)} does not represent a function.
In order for a set of points to represent a function, each input value (x-coordinate) should be paired with only one output value (y-coordinate). However, in the given set, the x-value of 2 is paired with both 5 and 12.
To determine if a set of points represents a function, you can follow these steps:
1. Identify all the x-values in the set.
In this case, the x-values are: 1, 2, and 7.
2. Check if any x-value is repeated.
If any x-value is repeated, it indicates that the set does not represent a function.
In the given set, the x-value 2 is repeated, which means it is paired with multiple y-values (5 and 12). Hence, the given set does not represent a function.