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choruls
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A relation for which each element of the domain corresponds to exactly one element of the range.
Function
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The set of values of the independent variable(s) for which a function or relation is defined
Domain
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The set of y-values of a function or relation
range
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A variable in an equation that may have its value freely chosen
without considering values of any other variable
independent variable
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A variable that depends on one or more other
variables.
dependent variable
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An interval that does not contain its endpoints
open intervals
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An interval that contains its endpoints.
closed intervals
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f(x) in place of 'y'
function notation
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A test use to determine if a relation is a
function
vertical line test
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a function with a graph that goes up from left to right.
increasing intervals
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a function with a graph that goes down from left to right.
decreasing intervals
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The highest point in a particular section of a graph
relative maximum
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The lowest point in a particular section of a graph
relative minimum
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extreme value of a function. like minima and maxima or a function. can be relative (local) or absolute
extrema
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A function with a graph that is symmetric with respect to the y-axis
even function
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A function with a graph that is symmetric with respect to the origin
odd function
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transformations where a figure is picked up and moved to another location.
translations
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The number which indicates no quantity, size, or magnitude
zeros
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A transformation in which a geometric figure is reflected across a line,
creating a mirror image
reflections
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A transformation in which a figure grows larger
dilations
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A function for which every element of the range of the function corresponds to exactly one
element of the domain.
one-to-one
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Combining two functions by substituting one
function's formula in place of each x in
the other function's formula
composition
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The function obtained by switching the
x- and y-variables in a
function.
inverse function
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A test use to determine if a function is one-to-one
horizontal line test
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A function that uses different formulas for different parts of its domain.
piecewise defined
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A function with a connected graph
continuous function
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