Chapter 12, Problem 50RE

Work these exercises.

Olympic High Jump The gold medal height (in centimeters) in the women's Olympic high jump can be approximated for the years 1948 through 2016 by

$f\left(x\right)=42\ln x+6\left(48\le x\le 116\right),$

where $x=48$ corresponds to the year 1948. (Data from: www.olympic.org.)

According to this model, is the winning height increasing or decreasing during this period?

(b) Determine whether the graph of the winning height is concave up or concave down, and explain what that means about the high jump.