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17 Terms
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Domain
The set of all x-coordinates of a relation
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Range
the set of all y-coordinates of a relation
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Relation
set of ordered pairs
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Function
relation in which each element of the domain is paired with exactly one element in the range
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Onto Function
each element of the range corresponds to an element of the domain
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One-to-one Function
each element of the range is paired with exactly one element of the domain
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Discrete Relation
relation in which the domain is a set of individual points
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Continuous Relation
relation that can be graphed with a smooth curve or a line
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Dependent Variable
in a function, the variable whose values depend on x
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Independent Variable
in a function, the variable, usually x, whose values make up the domain
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Linear Function
function whose ordered pairs satisfy a linear equation
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Line Symmetry
figures that match exactly when folded in half
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Point Symmetry
Two distinct points p and p are symmetric with respect to point m if and only if m is the midpoint of pp so point m is symmetric with respect to itself
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Extrema
the maximum and minimum values of a function
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End Behavior
how the value of the function behaves as x goes to positive infinity and as x goes to negative infinity
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Relative Maximum
point on the graph of a function where no other nearby points have a greater y-coordinate
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Relative Minimum
point on the graph of a function where no other nearby points have a lesser y-coordinate