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MAT 111  College Algebra
Section 2.2: Functions
Functions are special kinds of relations. A function is an assignment from a set A to a set B
such that:
1. Every element in set A is assigned an element in B.
2. No element in A is assigned to more than one element in B.
Remarks:
1. Not every element in B need to be assigned an element in A, but
every
element in A has
to have an image in B.
2. Two or more elements in A can be assigned to the same element in B.
Domain
of a function is the set of inputs.
Range
of a function is the set of outputs.
Functions can be represented:
1. Verbally: a sentence that describes how the input is related to the output.
Example:
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View Full Document2. Numerically: give a table or a list of ordered pairs that matches input values with output
values. The domain then is the set of values in the ﬁrst coordinate and the range is the set
of values in the second coordinate.
Example:
3. Graphically: points in the plane. Input values are on the horizontal axis and output values
are on the vertical axis.
4. Algebraically: an equation in two variables.
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 Fall '10
 CarolineBoulis
 Algebra

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