1.2 Characteristics of Polynomial Functions February 10, 2014 Finite Differences For a polynomial function of degree n, where n is a positive integer, the nth differences 1. are constant (equal) 2. have the same sign as the leading coefficient 3. are equal to d = an! To calculate the leading coefficient (a) of a function, - Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically. - Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically.
Pre-Calculus Polynomial Worksheet For #1-4, use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. Then use this end behavior to match the polynomial function with its graph. 1. f (x) 2 x3 x 2x 2. f (x) x6 6x4 9x2 3. a. f (x) x5 5x3 4x 4. f(x) x4 1 b. c. d.