![]() ![]() Know the relationship of the domain and range of inverse functions and the original function. ![]() the inverse function and the original function are symmetrical about the line y =x). Know the behavior of the inverse function, when given the graph of the original function (ie.Be able to determine the inverse of functions (swap x and y in the original function and solve for y).slant asymptotes, if any, if the numerator has degree 1 more than the denominator.horizontal asymptotes (imagine x to be a large number, M, and simplify.).vertical asymptotes (solve: denominator = 0).y intercepts (substitute: x = 0 into the function).Be able to graph various forms of rational functions by determining its:.Be able to graph and interpret inequalities relating to polynomial functions: know for which intervals the graph lies above/ below the x-axis.įor RATIONAL FUNCTIONS, f(x) = P(x)/ Q(x), you must:.Be able to calculate the roots, real and imaginary, of a polynomial.Determine the polynomial function given its roots and their multiplicity.Apply the Descartes Rule of Signs to determine the number of positive, negative and imaginary roots of a polynomial.Apply the Rational Roots Theorem to determine the possible roots of a polynomial.Be able to prove the Rational Roots Theorem.Use the Factor Theorem and Remainder Theorem to determine if a monomial is a factor of the polynomial function.Know the proofs of Remainder Theorem and Factor Theorem.Be able to divide a polynomial and a linear (binomial) expression using Synthetic Division, and determine the Quotient and Remainder.Be able to divide two polynomial functions using long division.Intervals where graph is above/ below the x-axis by using a sign table. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |