Question
1.What is meant by the end behavior of a polynomial function? Explain how to use the Leading Coefficient Test to determine the end behavior of
1.What is meant by the end behavior of a polynomial function? Explain how to use the Leading Coefficient Test to determine the end behavior of a polynomial function.
2. What are the zeros of a polynomial function and how are they found?
3.Explain the relationship between the multiplicity of a zero and whether or not the graph crosses or touches the x-axis at that zero.
4.What advantage is there to using the Remainder Theorem in this situation rather than evaluating f(-6) directly? F(x) = x4 + 3x3 - 5x2 + 7x - 400
5.How can the Factor Theorem be used to determine if (x - 1) is a factor of x3 - 2x2 - 11x + 12?
6.Describe how to find the possible rational zeros of a polynomial function.Give an example.
7.Describe how to use Descartes' Rule of Signs to determine the possible number ofpositivereal zeros of a polynomial function and the number ofnegativereal zeros.Give an example.
8.What is a rational function?Give an example.
9.If you are given the equation of a rational function, explain how to find the vertical asymptotes, if any, of the function's graph. How do you find the horizontal asymptote, if any?Give an example.
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