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(Section 1.2: Graphs of Functions)
1.2.8
PART G: ZEROS (OR ROOTS) and INTERCEPTS
The real zeros
(or roots
) of
f
are the real solutions of
fx
()
=
0
, if any.
They correspond to the
x
intercepts
of the graph of
y
=
.
WARNING 4
:
The number 0
may or may not
be a zero of
f
. In this sense, the
term “zero” may be confusing. On the other hand, the term “root” might be
confused with square roots and such.
• The graph of
y
=
can have any number of
x
intercepts (possibly none), or
infinitely many, depending on
f
.
• We typically focus on real zeros, though we will discuss imaginary zeros in Chapters 2 and 6.
The
y
intercept
of the graph of
y
=
, if it exists, is given by
f
0
or by the
point
0,
f
0
.
• The graph of
y
=
can have at most one
y
intercept.
Example 6 (Finding Zeros and Intercepts)
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This document was uploaded on 12/29/2011.
 Spring '09

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