Final answer:
The given set of ordered pairs does not have a linear relationship, so none of the provided functions accurately represent the set.
Step-by-step explanation:
The set of ordered pairs {(2, -1), (4, 5), (6, 15), (8, 29)} represents the relationship between x and y values. To determine which function best represents the given set of ordered pairs, we need to find the equation that relates the x and y values in a consistent manner.
Let's analyze the given set:
- When x = 2, y = -1
- When x = 4, y = 5
- When x = 6, y = 15
- When x = 8, y = 29
If we observe closely, we can see that the relationship between x and y is not linear. The difference between the y-values does not remain constant as the x-values increase.
Therefore, none of the given options A) f(x) = 2x - 1, B) f(x) = 4x + 5, C) f(x) = 3x + 9, or D) f(x) = 5x - 1 accurately represents the given set of ordered pairs.