   Chapter C, Problem 6E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

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

# 1 - 6 Choosing a Window Use a graphing calculator or computer to decide which viewing rectangle ( a ) − ( d ) produces the most appropriate graph of the equation. y = 8 x − x 2 (a) [ − 4 , 4 ] by [ − 4 , 4 ] .(b) [ − 5 , 5 ] by [ 0 , 100 ] .(c) [ − 10 , 10 ] by [ − 10 , 40 ] .(d) [ − 2 , 10 ] by [ − 2 , 6 ] .

To determine

The most appropriate graph of the equation y=8xx2 in between the given viewing rectangle (a)(d).

Explanation

Given:

The given equation is,

y=8xx2

The rectangular view given are,

(a) [4,4] by [4,4].

(b) [5,5] by [0,100].

(c) [10,10] by [10,40].

(d) [2,10] by [2,6].

Approach:

The graph of the equation using graphing calculator in the given rectangular view is construct 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:

Case (a): [4,4] by [4,4].

Write the given equation in the graphing calculator,

y=8xx2

Set,

Xmin=4Xmax=4Ymin=4Ymax=4

The result graph is as shown below,

Figure (4)

The resulting graph only shows some portion of the graph. The turning point in the graph is not visible on the screen which is misleading. So this rectangular view is also not appropriate.

Case (b): [5,5] by [0,100].

Write the given equation in the graphing calculator,

y=8xx2

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