Algebra two things I need to learn

the factor theorm

x of a must be a factor if f(a)=0

SOAP Factoring

S- Same as the sign in the middle of the original expression

O- Opposite sign

AP- Always positive

domain

the largest set of elements available for the independent variable

range

the set of elements for the depends variable, second number of ordered pair.

inverse functions

reflection over y=x

notation

f(g(x)) or f times g(x)

one to one function

no repeating x values or y values

onto function

mapping: all x values and y values are used

one-to-one and onto function

a function where all the x values and all y values are sued, where none of the x or y values repeat themselves. this function must pass the horizontal and vertical line tests

axis of symmetry

x= -b/2a

vertex of a parabola

(h,k)

focus

(h,k + p)

directrix

y= k - p

discriminant

b^2-4ac

radians

pi/180

degrees

180/pi

period

2pi/b