Section+2.1

(pg.170) Polynomial Function: AnX^n + An-1X^n-1 + An-2X^n-2.... + A2X^2 + A1X + A0 "An" is called the leading coefficient and "n" is called the degree
 * __Section 2.1 Linear and Quadratic Functions__**

Ex. sqrt (x) is not a polynomial lxl is not a polynomial int(x) is not a polynomial 1/x is not a polynomial

__Names (pg.171)__ 1. f(x) = 0 Zero function, degree is undefined 2. f(x) = a Constant function, degree is 0 3. f(x) = ax+b Linear function, degree is 1 4. f(x) = ax^2+bx+c Quadratic function, degree is 2

__Linear Functions (pg.171-173)__ y=mx+b slope-intercept form slope= rate of change = change in y / change in x = y2-y1 / x2-x1 A line has a constant rate of change m=0 - horizontal line m=undefined - verticle line positive slope - uphill negative slope - downhill

__Quadratic Functions (pg.177-178)__ Ex. f(x)= -1/2(x+1)^2 +4 (flipped x-axis, verticle shrink, left 1, up 4)

Two Forms: 1.Vertex Form y=a(x-h)^2+k Vertex is (h,k) 2. Standard Form y=ax^2+bx+c Vertex is (-b/2a, f(-b/2a))

a>0 then parobola opens upwards a<0 then parabola opens downwards Axis of symmetry: a verticle line through the vertex in which the graph is symmetric

Ex. Find vertex, axis of symmetry, and rewrite in vertex form f(x)=6x-3x^2-5 =-3x^2+6x-5 -b/2a= -6/2(3)= 1 f(1)= -2 vertex: (1,-2) axis of symmetry: x=1 y= -3(x-1)^2-2

__Verticle Free-Fall Motion (pg.180)__ s(t) = -1/2gt^2 + v0t + so v(t) = -gt + vo

g=-9.8m/s^2, vo=initial verticle velocity, so=initial height


 * __Homework Assigned:__** pg.182 #1-25 odd