a set of ordered pairs is called a __________.. a set of ordered pairs is called a relation
TRANSCRIPT
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A set of ordered pairs is called a __________.
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A set of ordered pairs is called a relation.
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A ________ is a set of ordered pairs in which no two ordered pairs have the same first
coordinate and different second coordinates.
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A function is a set of ordered pairs in which no two ordered pairs have the same first
coordinate and different second coordinates.
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The ________ of a function is the set of all the _____
coordinates of the ordered pairs.
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The domain of a function is the set of all the first (x) coordinates
of the ordered pairs.
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The ________ of a function is the set of all the ______
coordinates.
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The range of a function is the set of all the second (y) coordinates.
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The domain is the _____variable.
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The domain is the x variable.
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The range is the _____ variable.
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The range is the y variable.
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Functional Notation
f ( x)
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Vertical Line Test for Functions
• A graph is the graph of a function if and only if no vertical line intersects the graph at more than one point.
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Increasing, Decreasing and Constant Functions
If a and b are elements of an interval I that is a subset of the domain of a function f, then
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Increasing, Decreasing and Constant Functions
If a and b are elements of an interval I that is a subset of the domain of a function f, then
• f is increasing on I if f(a) < f(b) whenever a < b.
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Increasing, Decreasing and Constant Functions
If a and b are elements of an interval I that is a subset of the domain of a function f, then
• f is increasing on I if f(a) < f(b) whenever a < b.
• f is decreasing on I is f(a) > f(b) whenever a > b.
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Increasing, Decreasing and Constant Functions
If a and b are elements of an interval I that is a subset of the domain of a function f, then
• f is increasing on I if f(a) < f(b) whenever a < b.
• f is decreasing on I is f(a) > f(b) whenever a > b.
• f is constant on I if f(a) = f(b) for all a and b.
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Horizontal Line Test
• If every horizontal line intersects the graph of a function at most once, then the graph is the graph of a one to one function.
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Functions whose graphs can be drawn without
lifting the pencil off the paper are called
continuous functions.
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Functions with holes, breaks, or gaps have
discontinuities.
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Greatest Integer Function