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(Section 1.1: Functions)
1.1.7
WARNING 6
:
As a matter of convenience, some sources refer to
fx
()
as a
function, but this convention is often rejected as nonrigorous.
• One advantage to the
notation is that it indicates that
f
is a function of
one
variable. The notation
,
y
indicates that
f
is a function of
two
variables.
• A function can be determined by a
domain
and a
function rule
. Together, the domain
and the function rule determine the
range
of the function. (See Footnote 1.)
• Two functions with the same rule but
different domains
are considered to be
different
.
• Piecewisedefined functions
will be discussed in Section 1.5. Such a function applies
different rules to disjoint (nonoverlapping) subsets of its domain (subdomains
).
For example, consider the function
f
, where:
=
x
2
,
±
2
²
x
<
1
x
+
1,
1
²
x
²
2
³
´
µ
¶
PART E: POLYNOMIAL, RATIONAL, AND ALGEBRAIC FUNCTIONS
Review Section 0.6 on polynomial, rational, and algebraic
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This document was uploaded on 12/29/2011.
 Spring '09

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