How do you tell the possible rational roots of a polynomial function? How do you test one of the possible rational roots to see if it is indeed a zero?

Explain with examples of your own how to find the domain and range of a function.

Find the multiplicity of each root and what that indicates in g(x)=(x - 4)^3(x + 1)(x + 8)^2

Bill was given the roots 4, -5, and 3i and was asked to write the resulting polynomial. He answered f(x)=x^3+x^2-3x^2i-20x-3xi+60i. Do you agree with the answer? Explain your reasoning.

Provide a function that has both a vertical and a horizontal asymptote.