Time (seconds) 8 9 10 11 12 13 . . . Height (feet) 14.2 14.55 14.8 14.95 15.0 14.95 . . . Grace creates a table to track the approximate height reached by her flying disc, in feet, as a function of the time, in seconds, since she released the disc. Determine the type of function that best models the data. What function family does it belong to?
A. the quadratic function family
B. the linear function family
C. the cubic function family
D. the square root function family
Based on the given data, it appears that the height reached by the flying disc is changing linearly with respect to time. The function family that best models this data is the linear function family, which means the answer is B. the linear function family.
is this right
No, my previous response was not accurate. After reviewing the data again, it appears that the height reached by the flying disc is not changing linearly with respect to time. Instead, the height values seem to follow a pattern that is not linear, quadratic, or cubic.
The height values also do not appear to form a perfect curve, so it is unlikely that the data can be accurately modeled by a function from the square root function family either.
Therefore, based on the given data, it is difficult to determine the exact type of function that best models the data or the function family it belongs to. It is possible that the data may require higher-order functions or a more complex model to accurately represent the relationship between time and height.
is which is right
Based on the given data, the best type of function that seems to model the relationship between time and height reached by the flying disc is a quadratic function. The height values do not form a perfect straight line (indicating a linear function) or a perfect curve (indicating a cubic function), but they do exhibit a pattern of increase and then decrease, which is indicative of a quadratic function.
Therefore, the correct answer is A. the quadratic function family.