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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Solutions

Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

1 9 - 2 6 Intersection Points Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there?

Graph the circle x 2 + y 2 = 9 by solving for y and graphing two equations as in Example 3 .

To determine

The graph of the equation of circle x2+y2=9 by solving for y and graphing two equations corresponding for the positive and the negative square roots.

Explanation

Given:

The given equations of circle is,

x2+y2=9

Approach:

The graph of the equation using graphing calculator in the given rectangular view is constructed on the basis of the following steps:

Step 1: Press the key Y= on the graphing calculator and write the given equation, Y= screen in the graphing calculator is as shown below,

Figure (1)

Step 2: Press the key WINDOW on the graphing calculator and write the given rectangular view, WINDOW screen in the graphing calculator is as shown below,

Figure (2)

Step 3: Press the key GRAPH on the graphing calculator and view the graph obtained, GRAPH screen in the graphing calculator is as shown below,

Figure (3)

Calculation:

Write the given equations in the graphing calculator,

x2+y2=9

Solve the above equation for y.

y2=9x2y=±9x2

Thus, the circle is described by the two equation, that is,

y=9x2

And

y=9x2

Graph the first equation y=9x2.

Consider the viewing rectangle as [6,6] by [4,4]

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