For the following polynomial:              f(x) = (x – 1)2 ( x2– x – 30)   3a) Describe the end behavior of the graph.  (You 3b) Find the x and y-intercepts 3c) Is the graph of this function both smooth and continuous? Explain why or why not? 3d) Provide a sketch of the function. How did you use your answers to parts (a), (b), and (c) to sketch the graph.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 63SE: For the following exercises, use the given information about the polynomial graph to write the...
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 For the following polynomial: 

            f(x) = (x – 1)( x2– x – 30)

 

3a) Describe the end behavior of the graph.  (You

3b) Find the x and y-intercepts

3c) Is the graph of this function both smooth and continuous? Explain why or why not?

3d) Provide a sketch of the function. How did you use your answers to parts (a), (b), and (c) to sketch the graph.

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