Chapter 1, Problem 6P

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Sketch the graph of the function *g*(*x*) = |*x*^{2} –1 | – |*x*^{2} – 4|.

To determine

**To sketch:** The function

Explanation

**Given:**

The function

**Result used:**

*Even function:*

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

**Definition used:**

The absolute value of *x* is defined as,

**Calculation:**

Consider the function

Now,

The function can be split into different cases as follows:

Case (i):

For

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

Case (ii):

For

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

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