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Home > CALC > Chapter 5 > Lesson 5.5.2 > Problem 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.