### Home > CALC > Chapter 5 > Lesson 5.5.2 > Problem 5-168

5-168.

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

*a*. Find the values of

*for which each of these functions has a relative maximum or minimum; the answers will be in terms of*

*a*.

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.*