Find the relative maxima and minima, if any, for the following function: f(x)=(x^2-4x+4)^2

Question:

Find the relative maxima and minima, if any, for the following function:

{eq}f(x)=(x^2-4x+4)^2 {/eq}

Finding Minima & Maxima:

The maxima or the function is not possible is the function's curve is stretching till infinity, however, the minima of the curve can be possible if there is any turning point of the graph of the function.

Answer and Explanation:


Here we have the complex function, so we can use the graphical approach and plot the function's curve using the graphing utility.

So the curve is:


Figure


So here we have no maxima but just the minimum at point (2.01,1)


Learn more about this topic:

Loading...
Finding Minima & Maxima: Problems & Explanation

from General Studies Math: Help & Review

Chapter 5 / Lesson 2
20K

Related to this Question

Explore our homework questions and answers library