To graph a polynomial function it is necessary to determine the end behavior of the graph, find the x-intercepts and determine the graph's behavior at the x-intercepts, and find the y-intercept.

An example of a polynomial in factored form is: p(x) = (x + 4)(x – 1)²(x – 5)

An example of a polynomial in standard form is: f(x) = x³Â + 3x²Â + 3x + 1

 

 

Step 1: answer the following questions using complete sentences and proper terminology. Clearly organize by referring to A, B, and C.

 

A) How is the end behavior of a polynomial graph determined? Completely describe all 4 cases and express the behavior with the proper symbols. Consider the 2 cases of a polynomial in standard form and a polynomial in factored form.

 

B) How are the x-intercepts of a polynomial found and expressed? What could the graph do at the x-intercepts and how is that determined? Consider the 2 cases of a polynomial in standard form and a polynomial in factored form.

 

C) How is the y-intercept found and expressed? Consider the 2 cases of a polynomial in standard form and a polynomial in factored form.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Step 2: Use MS Word to type a document showing the complete solution (all steps) and correct answer to one of the following problems.

 

Graph one of the following polynomials, showing the end behaviors, x-intercepts, behavior at x-intercepts, and y-intercept. If you do not have access to graphing software, use the proper terminology to completely describe the graph and the required features.

 

                        f(x) = x³Â + 4x²Â â€“ 3x – 18                                  j(x) = x³Â + 5x²Â â€“ 4x –20

 

                        g(x) = – x³Â + 2x²Â + 11x – 12                          p(x) = – x³Â â€“ x²Â + 9x+ 9

 

                        h(x) = – x⁴ + 5x²Â â€“ 4

 

The document should be saved in .docx, .doc, .pdf, or .rtf format.

 

 

 

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Status NEW Posted 13 Aug 2017 05:08 PM My Price 8.00

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