inequação
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PiR2 :: Matemática :: Álgebra
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inequação
A seguinte representação gráfica foi apresentada por um
professor aos seus alunos
![inequação 2Q==](data:image/jpg;base64,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)
Sobre ela, o professor afirmou que os pontilhados representam o gráfico de uma função quadrática, com maior
domínio possível, cujo ponto de coordenadas (0, 2) é a interseção da parábola com o eixo das ordenadas.
Com base no gráfico, o professor pediu aos alunos uma representação algébrica, esperando que eles apresentassem, corretamente, a seguinte resposta:
(A) x² + 2 > 0
(B) x² > 2
(C) x² + 2 > 2
(D) y + 2 > x²
(E) y > x² + 2 resposta
professor aos seus alunos
Sobre ela, o professor afirmou que os pontilhados representam o gráfico de uma função quadrática, com maior
domínio possível, cujo ponto de coordenadas (0, 2) é a interseção da parábola com o eixo das ordenadas.
Com base no gráfico, o professor pediu aos alunos uma representação algébrica, esperando que eles apresentassem, corretamente, a seguinte resposta:
(A) x² + 2 > 0
(B) x² > 2
(C) x² + 2 > 2
(D) y + 2 > x²
(E) y > x² + 2 resposta
deisearosa- Padawan
- Mensagens : 92
Data de inscrição : 29/11/2018
Idade : 41
Localização : são josé dos campos
Re: inequação
A curva não cruza o eixo das abscissas. Logo, não pode ser (B) nem (D). (A) e (C) são sempre verdadeiras, com exceção de x = 0 para (C).
Então a resposta é (E). Vc pode jogar pontos do gráfico na função para confirmar.
Então a resposta é (E). Vc pode jogar pontos do gráfico na função para confirmar.
Mathematicien- Mestre Jedi
- Mensagens : 668
Data de inscrição : 14/08/2014
PiR2 :: Matemática :: Álgebra
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