Chapter 1, Problem 5P

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Sketch the graph of the function *f*(*x*) = |*x*^{2} – 4| *x* | + 3|.

To determine

**To sketch:** The function

Explanation

**Given:**

The function is

**Result used:**

Even function:

A function is even if and only if *x* in the domain of *f*.

**Calculation:**

Consider the function

Observe that

Therefore,

Thus, for all

The function can be split into four different cases as follows:

Case (i):

For

**To sketch:** Use the online graphing calculator and draw the graph of the function:

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