If the above set of ordered pairs is a function, is it a linear or a nonlinear function?(1 point) Responses The set of ordered pairs was not a 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 linear function. The set of ordered pairs is a nonlinear function. The set of ordered pairs is a nonlinear function. The set of ordered pairs is neither a linear nor nonlinear function.
(0, 2), (1, 3), (2, 4), (3, 5), (4, 6)
The set of ordered pairs is a linear function.
The given set of ordered pairs is a function. It represents a linear function.
To determine whether the given set of ordered pairs represents a linear or nonlinear function, we need to check if there is a consistent rate of change between the input (x) and output (y) values.
In this case, let's calculate the rate of change by finding the difference between consecutive y-values (output) and x-values (input).
Using the given set of ordered pairs:
(0, 2), (1, 3), (2, 4), (3, 5), (4, 6)
The differences between consecutive y-values (3-2, 4-3, 5-4, 6-5) are all equal to 1. Similarly, the differences between consecutive x-values (1-0, 2-1, 3-2, 4-3) are also all equal to 1.
This indicates that the rate of change between the input and output values is constant, which is a characteristic of a linear function.
Therefore, we can conclude that the given set of ordered pairs represents a linear function.