College Algebra Notes 1.1-1.3

natural numbers
counting numbers
N
natural numbers symbol
W
whole numbers symbol
whole numbers
starting at zero and counting up
intergers
postive and negative whole numbers
Z
intergers symbol
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rational numbers
2/3, 3.81
Q
rational numbers symbol
irrational numbers
pi
real numbers
the rational and irrational
fancy R
real numbers symbol
imaginary numbers
square root of -1
pure imaginary numbers
2i,-10i
complex numbers
a+bi
null set
set that contains no elements
relation
a set of ordered pairs, a correspondence that matches up two sets of objects {(1,2),(3,5),(-2,6)}
domain
the first set in the correspondence the set of all the x values
D:{-2,1,3}
range
the second set in the correspondence the set of all the y values
R:{2,5,6}
functions
a relation in which each element of the domain is paired to one end and only one element of the range
independent variable
a variable used as a placeholder for the domain values
dependent variable
a variable used as a placeholder for the range values
abscissa
first coordinate of a point on the graph (x value)
ordinate
second coordinate of a point on the graph (y value)
local extremum
f(c), local minimum or local maximum
piecewise-defined functions
functions whose definitions involve more than 1 formula
continuous graph
a graph that contains no breaks or gaps and can be drawn without lifting a pen from the paper
discontinuous graph
a graph that has a break or gap on it
greatest integer function
stair step pattern, known as step function