(Section 1.1: Functions)
1.1.6
Example 7 (Failure to Evaluate a NonFunction; Revisiting Example 3)
Let the relation
S
=
5, 1
()
,5
,
±
,7
{}
. If we had erroneously
identified
S
as a function and renamed it
f
, we would see that
f
5
is
not welldefined
. It is unclear whether its value should be 1 or
.
§
A “function rule
” describes how a function assigns an output to an input.
It is typically given by a defining formula
such as
fx
=
x
2
.
Example 8 (Squaring Function: Evaluation)
Let
=
x
2
on
±
.
• This means that we are
defining
a function
f
by the rule
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This document was uploaded on 12/29/2011.
 Spring '09

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