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Part 1
For the set of points to the​ right, determine whether an exponential​ function, a logarithmic​ function, a linear​ function, or a quadratic function is the best choice for modeling the data.
x
y

A scatterplot has a horizontal x-axis and a vertical y-axis. There are five plotted points that follow a curve starting at the origin and rises from left to right at a decreasing rate.
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Part 1
Choose the correct answer below.
A.
quadratic function
B.
exponential function
C.
linear function
D.
logarithmic function

1 answer

Based on your description, the scatterplot shows points that start at the origin and rise from left to right at a decreasing rate. This pattern is characteristic of a logarithmic function, as logarithmic functions grow rapidly at first and then level off as x increases.

Therefore, the best choice for modeling the data is:

D. logarithmic function