Core 3 Revision Notes

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DOMAIN

eg. x

values function performed on

RANGE

eg. y

results from function calculations

MAPPING

ONE-ONE

MANY-ONE

ONE-MANY

MANY-MANY

FUNCTION

CONDITIONS

COMPOSITE

INVERSE

DEFINED

EITHER

ALL ELEMENTS

ONE-ONE

MANY-ONE

fg(x)

g(x)

f(g[x])

ONE-ONE

DOMAIN OF f^-1 = RANGE OF f

RANGE OF f^-1 = DOMAIN OF f

MAKE x SUBJECT; THEN REWRITE "SWAPPING" x's AND y's (OR f(x)'s)

1 - Algebra and functions