Explanation Given: The given equation is, y = x ( x + 6 ) ( x − 9 ) 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: Let us try different viewing rectangle for the equation y = x ( x + 6 ) ( x − 9 ) and select the appropriate window where graph can be viewed completely. Case (a): let the viewing rectangle be [ − 10 , 10 ] by [ − 50 , 50 ] . Write the given equation in the graphing calculator, y = x ( x + 6 ) ( x − 9 ) Start with the viewing rectangle [ − 10 , 10 ] by [ − 50 , 50 ] . Set, Xmin = − 10 Xmax = 10 Ymin = − 50 Ymax = 50 The result graph is as shown below, Figure ( 4 ) The resulting graph is not so clear, only some portion of the graph is visible. So this rectangular view is also not appropriate. Case (b): let the viewing rectangle be [ − 10 , 10 ] by [ − 100 , 100 ] . Write the given equation in the graphing calculator, y = x ( x + 6 ) ( x − 9 ) Start with the viewing rectangle [ − 10 , 10 ] by [ − 100 , 100 ] . Set, Xmin = − 10 Xmax = 10 Ymin = − 100 Ymax = 100 The result graph is as shown below,

The appropriate viewing rectangle for the equation y = x ( x + 6 ) ( x − 9 ) and use it to draw the graph.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter C, Problem 14E

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The appropriate viewing rectangle for the equation y=x(x+6)(x−9) and use it to draw the graph.

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The appropriate viewing rectangle for the equation y = x ( x + 6 ) ( x − 9 ) and use it to draw the graph.

Solution Summary: The author explains that the graph of the equation using graphing calculator in the given rectangular view is construct on the basis of three steps.

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The appropriate viewing rectangle for the equation y=x(x+6)(x−9) and use it to draw the graph.

Chapter C Solutions