* Reading Outline, Sec1.6 * ---------------------------------------- * Vocabulary/Definitions * - Power function - What ``dominate'' means - Which of exponentials or power functions dominate - Polynomial function - Degree of a polynomial - Number of ``turns'' of a polynomial - Zeros of a polynomial - Rational functions - Horizontal and vertical asymptotes and how to find them * Understand * 1. Find a possible formula for a polynomial which goes to -infinity as x goes to -infinity, goes to infinity as x goes to infinity, turns twice, has zeros at x=-1, x=3 and x=4, and has y-intercept (0,5). (Hint: sketch the graph first.) 2. Without graphing it, identify all horizontal and vertical asymptotes of y = (x^2 - 5x + 6)/(16-x^2).