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
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.
The given set of ordered pairs is a function because each input (x-value) corresponds to exactly one output (y-value).
To determine if the function is linear or nonlinear, we can check if the difference between consecutive y-values (vertical change) is constant for each consecutive pair of x-values (horizontal change).
In this case, the difference between consecutive y-values is always 1. Therefore, the function is linear.
So, the correct answer is B. The set of ordered pairs is a linear function.
To determine if the given set of ordered pairs represents a function, we need to check if each input (x-value) is paired with only one output (y-value).
Looking at the given set of ordered pairs (0, 2), (1, 3), (2, 4), (3, 5), (4, 6), we can see that each x-value is paired with only one y-value. Therefore, this set of ordered pairs represents a function.
To determine if the function is linear or nonlinear, we need to examine the pattern of the y-values as the x-values increase.
By observing the given set of ordered pairs, we can see that the y-values increase by 1 each time the x-value increases by 1. This consistent rate of change suggests that the function is linear.
Therefore, the correct answer is B) The set of ordered pairs is a linear function.