{(1, 3), (2, 5), (7, 9), (2, 12)} is a function
True or False
True
To determine if the given set of ordered pairs {(1, 3), (2, 5), (7, 9), (2, 12)} is a function, we need to check if each x-coordinate is associated with exactly one y-coordinate.
Let's go step-by-step through the pairs:
1. (1, 3): The x-coordinate 1 is associated with the y-coordinate 3.
2. (2, 5): The x-coordinate 2 is associated with the y-coordinate 5.
3. (7, 9): The x-coordinate 7 is associated with the y-coordinate 9.
4. (2, 12): The x-coordinate 2 is associated with the y-coordinate 12.
Since the x-coordinate 2 is associated with both the y-coordinate 5 and the y-coordinate 12, it violates the condition of a function where each x-coordinate should be associated with exactly one y-coordinate.
Therefore, the given set of ordered pairs {(1, 3), (2, 5), (7, 9), (2, 12)} is not a function.
The answer is False.
To determine if {(1, 3), (2, 5), (7, 9), (2, 12)} is a function, we need to check if every input value (x-value) has a unique output value (y-value).
A quick way to check would be to see if there are any repeated x-values in the set of tuples. If there are any repeated x-values, then it would not be a function.
In this case, we notice that there are two tuples with the same x-value of 2: (2, 5) and (2, 12). Therefore, {(1, 3), (2, 5), (7, 9), (2, 12)} is not a function.
So, the answer is False.