Question

Given a sequence of data in context where the outputs are constantly increasing but the rate of growth is decreasing, which of the following functions would best model the data? Assume the dataset indicates that there are no relative extrema. (1 point) Responses a linear function a linear function an absolute value function an absolute value function a logarithmic function a logarithmic function a cubic function

Answer 1

Based on the description you've provided, where the outputs are constantly increasing but the rate of growth is decreasing, the best function to model this kind of data would be a logarithmic function.

Logarithmic functions increase continuously but at a decreasing rate, which fits the criteria you mentioned. Linear functions would have a constant rate of growth, while cubic functions might exhibit relative extrema. Absolute value functions typically show a "V" shape and do not fit the scenario described.

So, the best choice is a logarithmic function.