Math 110 FS 2008
CH. 3.13.2
Lectures #8#9 (part). Definition of a function. Graphs. Piecewisedefined functions.
Definition of a Function.
Examples
.
Functions may be defined by
formula, by graph, by table, by description.
1
A
function
is a rule (process or method)
that produces a correspondence between
two sets of elements such that to each
element in the first set there corresponds
one and only one element in the second set.
The first set is called the
domain
, and the
second set is called the
range.
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Math 110 FS 2008
CH. 3.13.2
Lectures #8#9 (part). Definition of a function. Graphs. Piecewisedefined functions.
Functions defined by equations.
We will consider only the case when D and
R are sets of real numbers.
2
Definition
. If in an equation in two variables, for each
value of one variable we get exactly one
corresponding value of another variable, then the
equation defines a function.
Terminology.
Independent variable – dependant
variable
Input – output
Argument – function
Function notation.
(
29
y
f
x
=
.
f
is a symbol for the
rule;
(
29
f
x
represents the element in the Range of
f
corresponding to
x
in the Domain of
f.
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 Spring '08
 WORMER
 Derivative, Continuous function, Graph of a function

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