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# section22 - MAT 111 College Algebra Section 2.2 Functions...

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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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2. 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.
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