The data in the table is best modeled by a quadratic function, as the differences between the y-values are increasing at a constant rate, indicating a second-degree polynomial relationship. This can be observed by calculating the first differences (60, 60) and noting that they are constant, suggesting linear behavior in the first differences, which points to a quadratic relationship in the original data.
In 1-2 sentences, explain which type of function best models the data in the table? How do you know?
x: 1, 4, 7
y: 26, 86, 146
1 answer