If the above set of ordered pairs is a function, is it a linear or a nonlinear function?
The set of ordered pairs was not a function.
The set of ordered pairs is a linear function.
The set of ordered pairs is a nonlinear function.
The set of ordered pairs is neither a linear nor nonlinear function.
Since the set of ordered pairs is not a function, it cannot be determined whether it is a linear or nonlinear function.
(0, 2), (1, 3), (2, 4), (3, 5), (4, 6)
If the above set of ordered pairs is a function, is it a linear or a nonlinear function?
The set of ordered pairs was not a function.
The set of ordered pairs is a linear function.
The set of ordered pairs is a nonlinear function.
The set of ordered pairs is neither a linear nor nonlinear function.
To determine if the set of ordered pairs is a linear or nonlinear function, we can check if there is a constant rate of change between the x-values and the corresponding y-values.
In this case, when we examine the differences between the y-values, we see that the rate of change is constant. For example:
3 - 2 = 1
4 - 3 = 1
5 - 4 = 1
6 - 5 = 1
Since there is a constant rate of change of 1, the set of ordered pairs represents a linear function.