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

5-168.

The formula h(x) = (x − 2)(ax − l)2 defines a family of functions, each corresponding to a different value of the parameter, a. Find the values of x for which each of these functions has a relative maximum or minimum; the answers will be in terms of a. Homework Help ✎

Notice that h(x) is a cubic function. Visualize its graph.

consequently, it is the location of a local max or min of h(x).

Since h(x) is a cubic function, there should be another local max or min. Find its location by setting h '(x) = 0 and solving for x.

Recall that maxima and minima are y-values. So evaluate h(x) to find the corresponding y-values.