Instruction
In a posting to the Discussion Board in Falcon Online, answer the following questions using complete sentences and proper terminology. Clearly organize the posting 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.
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) = x3 + 4x2 – 3x – 18 j(x) = x3 + 5x2 – 4x – 20
g(x) = – x3 + 2x2 + 11x – 12 p(x) = – x3 – x2 + 9x + 9
h(x) = – x4 + 5x2 – 4
The document should be saved in .docx, .doc, .pdf, or .rtf format.