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Vocab Quiz Unit #5
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Terms in this set (12)
discrete domain
a set consisting only of specific, non-connecting input values of a
function (the graph is a series of unconnected dots)
continuous domain
a set consisting of an uninterrupted range of input values of a
function (the graph is a line or line segment)
linear function
a function that graphs a non-vertical line having a constant rate of
change (known as the slope)
non-linear function
a function that does not represent a constant rate of change
(slope), so its graph is not a line.
piecewise function
a function defined by two or more equations, where each "piece" of the function applies to a different part of its domain
step function
a specific type of piecewise function defined by constant values over its domain, resulting in a series of horizontal line segments
absolute value function
a function that results in a "V" shape graph due to restrictions placed on the output (range) values
sequence
a function whose domain consists of consecutive positive integers, where the
domain value also represents the position, n, in the sequence [Note: for any
position n, the following position is (n + 1) and the previous position is (n - 1)]
term
each corresponding range value of the sequence, denoted as tn , giving the
relation: (n, tn). Only the range values are shown in a sequence. [Note: Since
the first term of a sequence corresponds to the domain value n = 1, the term is
denoted as "t1"]
arithmetic sequence
a sequence in which the common difference between any two
consecutive terms is a constant value
inverse functions
two functions ( f and g ), where
f g g f
and the output value
(range) is equal to the input value (domain)
horizontal line test
a test performed on the graph of a function to determine if it will
have an inverse function (not all functions will have inverse functions); two tests
are performed on the original graph:
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