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MATHEMATICS 2 Cheat Sheet (DRAFT) by

This is a draft cheat sheet. It is a work in progress and is not finished yet.

RELATIONS AND FUNCTIONS

RELATIONS
one-to­-one, many-t­o-one, one-to­-many
VARIABLES
x-inde­pen­dent, y-depe­ndent
DOMAIN
set of values of x
RANGE
set of values of y
FUNCTION NOTATION
f(x)=_____
FUNCTION
no repetition in x
VERTICAL LINE TEST
inters­ection = 1, is FUNCTION
FUNCTIONS OPERATIONS
 
 
 
COMPOSITE FUNCTIONS
 
INVERSE OF FUNCTION

SIMULT­ANEOUS EQUATIONS

BY GRAPHING
BY SUBSTI­TUTION
BY ELIMIN­ATION METHOD

QUADRATIC FUNCTIONS

FORMS OF QUADRATICS FUNCTION
FACTORING QUADRATICS
INCOMPLETE QUADRATICS
SOLVING BY TAKING THE SQUARE ROOTS
QUADRATIC FORMULA
VERTEX OF PARABOLA
GRAPHING PARABOLAS

EXPONE­NTIAL FUNCTIONS

PROPERTIES OF EXPONENTS
EXPONE­NTIAL EQUATIONS

LOGARI­THMIC FUNCTIONS

EXPONE­NTIAL TO LOGARI­THMIC FORM
PROPERTIES OF LOGARITHMS
EXPAND AND CONDENSE
LOGARI­THMIC EQUATIONS

NATURAL LOGARITHMS

PROPERTIES OF NATURAL LOGARITHMS
SOLVING NATURAL LOGARITHMS
 

SINE LAW

AAS
ASA

COSINE LAW

SAS
SSS

CIRCLE THEOREMS

ANGLES AT THE CENTRE AND AT THE CIRCUM­FERENCE
ANGLE IN A SEMISC­IRCLE
ANGELS IN THE SAME SEGMENT
ANGLES IN A CYCLIC QUADRI­LATERAL
LENGTHS OF TANGENT
ANGLE BETWEEN CIRCLE TANGENT AND RADIUS
ALTERNATE SEGMENT THEOREM
PERPEN­DICULAR FROM THE CENTER BISECTS THE CHORD

THE AVERAGES

MEAN
MODE
MEDIAN

DATA PRESEN­TATIONS

FREQUENCY POLYGON
HISTOGRAM
CUMULATIVE FREQUENCY

OTHER FORMULAS

RANGE
LOWER QUARTILE
UPPER QUARTILE
INTERQ­UARTILE RANGE
VARIANCE
STANDARD DEVIATION

PROBAB­ILITY

SIMPLE PROBAB­ILITY
CONDIT­IONAL
PROBAB­ILITY TREE