About: Zero of a function

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In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function , is a member of the domain of such that vanishes at ; that is, the function attains the value of 0 at , or equivalently, is the solution to the equation . A "zero" of a function is thus an input value that produces an output of 0. has the two roots and , since If the function maps real numbers to real numbers, then its zeros are the -coordinates of the points where its graph meets the x-axis. An alternative name for such a point in this context is an -intercept.

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rdfs:label	Zero of a function (en)
rdfs:comment	In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function , is a member of the domain of such that vanishes at ; that is, the function attains the value of 0 at , or equivalently, is the solution to the equation . A "zero" of a function is thus an input value that produces an output of 0. has the two roots and , since If the function maps real numbers to real numbers, then its zeros are the -coordinates of the points where its graph meets the x-axis. An alternative name for such a point in this context is an -intercept. (en)
sameAs	Zero of a function Zero of a function
dbp:wikiPageUsesTemplate	dbt:Main dbt:MathWorld dbt:Redirect dbt:Reflist dbt:Short_description dbt:Css_Image_Crop
Subject	0 (number) Elementary mathematics Functions and mappings
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Zero_of_a_function?oldid=1070494011&ns=0
Wikipage page ID	264210 (xsd:integer)
page length (characters) of wiki page	8206 (xsd:nonNegativeInteger)
Wikipage revision ID	1070494011 (xsd:integer)
has abstract	In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function , is a member of the domain of such that vanishes at ; that is, the function attains the value of 0 at , or equivalently, is the solution to the equation . A "zero" of a function is thus an input value that produces an output of 0. A root of a polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number of roots at most equal to its degree, and that the number of roots and the degree are equal when one considers the complex roots (or more generally, the roots in an algebraically closed extension) counted with their multiplicities. For example, the polynomial of degree two, defined by has the two roots and , since If the function maps real numbers to real numbers, then its zeros are the -coordinates of the points where its graph meets the x-axis. An alternative name for such a point in this context is an -intercept. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Zero_of_a_function
is differentFrom of	Functional square root
is Wikipage redirect of	Root of a function Roots of a function Root of a polynomial Roots of a Function Roots of a polynomial Zero set Real root Real zero Polynomial root Polynomial roots Horizontal intercept Vanish (mathematics) Vanishing function X-intercept Cozero set Zeroes of a function Zeros of a function
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