Explanation Given information: The polynomial is P ( x ) = x 3 − 4 x + 1 . Graph: To graph the polynomial P ( x ) = x 3 − 4 x + 1 first turn ON the calculator, then press the button Y= and insert the equation as shown in Figure 1. Figure 1 Now, press the WINDOW button and set the viewing window as shown in Figure 2. Figure 2 After this press the WINDOW button and the graph is obtained as shown in Figure 3. Figure 3 The above graph is intersects x axis at three points and y axis at one point. Calculation: Now press the TRACE button to obtain the x intercepts. Figure 4 Now, to round off the result to one decimal place, select MODE and then choose FLOAT option in it. For one decimal place, select 1 and press ENTER. Figure 5 From the above Figure 5, it is observed that the x intercept is − 2.1 . Press the TRACE button to obtain another x intercepts. Figure 6 From the above Figure 6 it is observed that the x intercept is 0.3 . Press the TRACE button to obtain another x intercepts. Figure 7 From the above Figure 7 it is observed that the x intercept is 1.9 . Now press the TRACE button to obtain y intercept.

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 3, Problem 21E

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To sketch:

The graph of the polynomial P(x)=x3−4x+1 and find x, y intercepts, the co-ordinates of all the extrema. Also, explain the end behavior of the polynomial.

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Chapter 3, Problem 20E

Chapter 3, Problem 22E

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The graph of the polynomial P ( x ) = x 3 − 4 x + 1 and find x , y intercepts, the co-ordinates of all the extrema. Also, explain the end behavior of the polynomial.

Solution Summary: The author illustrates the graph of the polynomial P(x)=x 3-4x+1 and the end behavior of it.

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To sketch:

The graph of the polynomial P(x)=x3−4x+1 and find x, y intercepts, the co-ordinates of all the extrema. Also, explain the end behavior of the polynomial.

Want to see the full answer?

Chapter 3 Solutions

The graph of the polynomial P ( x ) = x 3 − 4 x + 1 and find x , y intercepts, the co-ordinates of all the extrema. Also, explain the end behavior of the polynomial.

Solution Summary: The author illustrates the graph of the polynomial P(x)=x 3-4x+1 and the end behavior of it.

Concept explainers

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To sketch: The graph of the polynomial P(x)=x3−4x+1 and find x, y intercepts, the co-ordinates of all the extrema. Also, explain the end behavior of the polynomial.

Want to see the full answer?

Chapter 3 Solutions

To sketch:

The graph of the polynomial P(x)=x3−4x+1 and find x, y intercepts, the co-ordinates of all the extrema. Also, explain the end behavior of the polynomial.