Horizontal and vertical line tests

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorPegg Jr, Ed-
Data de aceite: dc.date.accessioned2019-08-21T18:16:37Z-
Data de disponibilização: dc.date.available2019-08-21T18:16:37Z-
Data de envio: dc.date.issued2016-10-26-
Data de envio: dc.date.issued2016-10-26-
Fonte completa do material: dc.identifierhttp://acervodigital.unesp.br/handle/unesp/361689-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/6519-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/467895-
Descrição: dc.descriptionA relation is a set of ordered pairs {d,r}. For example, the set of points at distance 1 from the origin-the unit circle-is a relation. The domain D is the set of first values d. The range R is the set of last values r.When every element in the domain corresponds to exactly one element in the range, the relation is a function. A function passes the vertical line test-no vertical line passes through more than one point within the relation. The unit circle is thus not a function. The half-circle above the x axis is the function f(x) = sqrt (1-x²).The horizontal line test, which tests if any horizontal line intersects a graph at more than one point, can have three different results when applied to functions: 1. If no horizontal line intersects the function in more than one point, it is one-to-one (or injective); 2. If every horizontal line intersects the function in at least one point, it is onto (or surjective);3. If every horizontal line intersects the function in exactly one point, it is one-to-one and onto (or bijective)-
Descrição: dc.descriptionComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática-
Publicador: dc.publisherWolfram Demonstration Project-
Relação: dc.relationHorizontalAndVerticalLineTests.nbp-
Direitos: dc.rightsDemonstration freeware using Mathematica Player-
Palavras-chave: dc.subjectFunctions-
Palavras-chave: dc.subjectEducação Superior::Ciências Exatas e da Terra::Matemática::Geometria Algébrica-
Título: dc.titleHorizontal and vertical line tests-
Tipo de arquivo: dc.typetexto-
Aparece nas coleções:Repositório Institucional - Acervo Digital Unesp

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