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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.9, Problem 74E

To determine

Graph the equation with the help of graphing calculator

Expert Solution

**Given information:**

Write a short essay describing different ways in which a graphing calculator might give a misleading graph of an equation.

**Calculation: **

A graphing calculator displays a rectangular portion of the graph of an equation in a display window or viewing screen, which we call a viewing rectangle. The default screen often gives an incomplete or misleading picture, so it is important to coose the viewing rectangle with care.

Let us graph the equation

This is because for all

Hence, the graph lies entirely above the viewing rectangle, so this viewing rectangle is not appropriate.

If we enlarge the viewing rectangle to

If we enlarge the viewing rectangle to

Further enlarging the viewing rectangle, the graph do not show the

Hence, the viewing rectangle to

Now graph the equations

One is a parabola, while the other is a line. It seems as if the graphs intersect near the point

Hence, if we zoom in on the area around this point as illustrated below, we see that although the graphs almost touch, but they do not actually intersect.