Explanation Given: The polynomial function f ( x ) = x 4 − 10 x 3 + 35 x 2 − 50 x + 24 . Explanation: The provided polynomial function is of degree 4 . So, the graph of the provided function will have at most 4 − 1 = 3 peaks and valleys and at most 4 x − intercepts. When | x | will be large, the graph will resemble the graph of y = x 4 . So, it will move upward at both ends. Try different viewing windows and find a window that shows a complete graph of the provided polynomial function. First, try window [ − 3 , 3 ] by [ − 20 , 20 ] . To plot the graph of the provided function using Ti-83 : Step 1: Press the Y= button. Step 2: Enter the function by typing x 4 − 10 x 3 + 35 x 2 − 50 x + 24 . Step 3: Press the TRACE, WINDOW button. Step 4: Set the Xmin = − 3, Xmax = 3, Ymin = − 20, Ymax = 20 Step 5: Press TRACE button. The above graph does not move upward at the right end. So, extend the maximum limit of x from 3 to 5 and the maximum limit of y from 20 to 50 . Try window [ − 3 , 5 ] by [ − 20 , 50 ] . To plot the graph of the provided function using Ti-83 : Step 1: Press the Y= button. Step 2: Enter the function by typing x 4 − 10 x 3 + 35 x 2 − 50 x + 24

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ISBN: 9780135240687

Author: Lial

Publisher: PEARSON

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Chapter 3.5, Problem 34E

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The viewing window that shows a complete graph of the provided polynomial function f(x)=x4−10x3+35x2−50x+24.

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Chapter 3.5, Problem 33E

Chapter 3.5, Problem 35E

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The viewing window that shows a complete graph of the provided polynomial function f ( x ) = x 4 − 10 x 3 + 35 x 2 − 50 x + 24 .

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The viewing window that shows a complete graph of the provided polynomial function f(x)=x4−10x3+35x2−50x+24.

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