College Algebra Notes 1.1-1.3
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natural numbers
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counting numbers
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N
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natural numbers symbol
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W
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whole numbers symbol
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whole numbers
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starting at zero and counting up
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intergers
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postive and negative whole numbers
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Z
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intergers symbol
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rational numbers
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2/3, 3.81
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Q
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rational numbers symbol
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irrational numbers
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pi
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real numbers
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the rational and irrational
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fancy R
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real numbers symbol
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imaginary numbers
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square root of -1
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pure imaginary numbers
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2i,-10i
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complex numbers
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a+bi
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null set
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set that contains no elements
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relation
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a set of ordered pairs, a correspondence that matches up two sets of objects {(1,2),(3,5),(-2,6)}
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domain
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the first set in the correspondence the set of all the x values D:{-2,1,3}
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range
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the second set in the correspondence the set of all the y values R:{2,5,6}
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functions
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a relation in which each element of the domain is paired to one end and only one element of the range
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independent variable
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a variable used as a placeholder for the domain values
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dependent variable
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a variable used as a placeholder for the range values
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abscissa
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first coordinate of a point on the graph (x value)
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ordinate
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second coordinate of a point on the graph (y value)
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local extremum
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f(c), local minimum or local maximum
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piecewise-defined functions
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functions whose definitions involve more than 1 formula
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continuous graph
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a graph that contains no breaks or gaps and can be drawn without lifting a pen from the paper
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discontinuous graph
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a graph that has a break or gap on it
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greatest integer function
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stair step pattern, known as step function
