Question

Practice modeling real-world scenarios using linear, quadratic, or exponential regressions.
A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9.

Which type of function best models the data shown on the scatterplot?

Answer 1

A quadratic function. The data rises to a single peak (around x = 4) and then falls — behavior characteristic of a parabola opening downward. A linear function has constant slope and an exponential function is monotonic, so neither can model a rise-then-fall pattern.