{(1,1), (2, 2), (3, 3), (4,4)} is this a function
Yes, the given set is a function. In a function, each input value (x-value) is associated with exactly one output value (y-value). In this case, each x-value has a unique y-value, so it meets the definition of a function.
To determine if the given set of ordered pairs {(1,1), (2, 2), (3, 3), (4,4)} is a function, we need to check if each input value (x-coordinate) is associated with exactly one output value (y-coordinate).
In this case, all the input values are unique (1, 2, 3, and 4), and each input value is associated with exactly one output value. Therefore, the given set of ordered pairs is a function.
To determine if the given set of ordered pairs {(1, 1), (2, 2), (3, 3), (4, 4)} is a function, we need to check if each input value (x-coordinate) is associated with exactly one output value (y-coordinate).
In this case, each input value (1, 2, 3, and 4) is associated with exactly one output value (also 1, 2, 3, and 4). Therefore, the given set of ordered pairs is a function since it satisfies the definition of a function.
To check whether a set of ordered pairs is a function, you can follow these steps:
1. Identify the x-coordinates and y-coordinates in the set of ordered pairs.
2. Check if each input value (x-coordinate) appears only once in the set. If any input value appears multiple times, it is not a function.
3. Additionally, if an input value appears only once, it should be associated with exactly one output value (y-coordinate). If an input value is associated with multiple output values, it is not a function.
By following these steps, you can determine if a given set of ordered pairs is a function.