MATH116 Lecture Notes - Lecture 16: Cube Root, Quadratic Function, Even And Odd Functions
9 Dec 2015
School
Department
Course
Professor
Document Summary
A function p is called a polynomial of degree n if. P (x) = anxn + an 1xn+1 + . + a2x2 + a1x + a0, (1) where n is a nonnegative integer, an, an 1, . , a2, a1, a0 r are called the coe cients and an (cid:54)= 0. Its graph is always a parabola obtained by shifting the parabola y = x2: a polynomial of degree 3 is a cubic function and is of the form p (x) = ax3+bx2+cx+d. A function of the form f (x) = xa, where a is a constant, is called a power function. Note: any polynomial with an = 1, and an 1 = an 2 = . = a1 = a0 = 0 is a power function. Consider the following cases for power functions: a = n, where n is a positive integer (a) n even:
