Unit One
Contents
 Linear and Quadratic Functions
 Inequalities
 Radicals
Linear and Quadratic Functions
This sections describes the two basic functions that lead to the understanding of higher degree functions.
Linear

Its graph is a straight line.

Can take three main forms:
 SlopeIntercept –> f(x) = mx * b
 m is called the slope and b is the yintercept. Most common form.
 Pointslope –> y  y_{1} = m(x  x_{1})
 m is the slope and (x_{1}, y_{1}) is a point on the line.
 Standard form –> Ax + By = C
 A, B and C are all constants.
 SlopeIntercept –> f(x) = mx * b
Quadratic
 Its graph is a parabola

Can take three main forms:
 Standard Form –> f(x) = Ax^{2} + Bx + C
 A, B and C can be any real number. This is the most common form.
 Factored Form –> f(x) = (ax  c)(bx  d)
 A, B, C and D can be any real number.
 Vertex Form –> f(x) = a(x  h)^{2} + k
 (h, k) is the vertex of the parabola and k is maximum or minimum of the function.
 Standard Form –> f(x) = Ax^{2} + Bx + C