The following set of ordered pairs represents a function, (0, 2), (1, 3), (2, 4), (3, 5), (4, 6) Is this a) true or b) false

If the above set of ordered pairs is a function, is it a linear or a nonlinear function? Choose the correct answer from the following.
A. The set of ordered pairs is not a function
B. The set of ordered pairs is a linear function
C. The set of ordered pairs is a nonlinear function
D. The set of ordered pairs is neither a linear nor nonlinear function

1 answer

The given set of ordered pairs represents a function because each input value (x-value) is paired with exactly one output value (y-value).

To determine if the function is linear or nonlinear, we can examine the pattern in the y-values as the x-values increase.

In this case, we can see that the y-values increase by 1 each time the x-value increases by 1. This indicates a linear relationship, specifically a y = x + 2 function.

Therefore, the correct answer is B. The set of ordered pairs is a linear function.