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(Section 1.3: Basic Graphs and Symmetry)
1.3.4
TIP 1
:
The graph never falls below the
x
axis, because
squares
of real
numbers are
never negative
.
Look at the table. Each pair of
opposite
x
values
yields
a common function
value
fx
()
, or
y
.
•
Graphically
, this means that every point
x
,
y
on the graph has a
“mirror image partner”
±
x
,
y
that is also on the graph. These
“mirror image pairs” are
symmetric about the
y
axis
.
• We say that
f
is an
even function
. (Why?)
A function
f
is even
±
f
²
x
=
,
³
x
´
Dom
f
±
The graph of
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 Spring '09

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