### Home > APCALC > Chapter 5 > Lesson 5.5.2 > Problem 5-169

5-169.

The formula defines a family of functions, each corresponding to a different value of the parameter,

*. Determine the values of*

*for which this family of functions has a relative maximum or minimum. Your answers will be in terms of*

*.*

Notice that is a cubic function. Visualize its graph.

consequently, it is the location of a local max or min of .

Since is a cubic function, there should be another local max or min. Find its location by setting

*and solving for*

*.*

Recall that maxima and minima are -values. So evaluate

*to find the corresponding*

*-values.*