Funções
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Funções
Boa noite
Gostaria de saber relacionar a teoria dos conjuntos (domínio, imagem e contradomínio), com a ideia de que as funções servem para nos auxiliar a resolver problemas em que há muitas possibilidades. Pois ainda não consegui construir uma lógica por trás do tal f(x)... Ele serve para eu encontrar o seu correspondente no outro grupo? Ele existe para me mostrar um ponto no gráfico? Do que realmente se trata este assunto e como aplicá-lo no cotidiano como a equação, por exemplo... Desde já agradeço.
Obs: fico feliz que tenha decidido responder-me, mas peço, por gentileza, que use termos simples, quanto mais prática for a linguagem, maior as chances de eu entender e, mais uma vez, muito obrigada.
Gostaria de saber relacionar a teoria dos conjuntos (domínio, imagem e contradomínio), com a ideia de que as funções servem para nos auxiliar a resolver problemas em que há muitas possibilidades. Pois ainda não consegui construir uma lógica por trás do tal f(x)... Ele serve para eu encontrar o seu correspondente no outro grupo? Ele existe para me mostrar um ponto no gráfico? Do que realmente se trata este assunto e como aplicá-lo no cotidiano como a equação, por exemplo... Desde já agradeço.
Obs: fico feliz que tenha decidido responder-me, mas peço, por gentileza, que use termos simples, quanto mais prática for a linguagem, maior as chances de eu entender e, mais uma vez, muito obrigada.
Daira Rezende3- Padawan
- Mensagens : 53
Data de inscrição : 28/09/2020
Idade : 23
Re: Funções
Daira, uma função é simplesmente uma descrição matemática entre duas ou mais coisas que se relacionam. Por exemplo, sabemos que a área de um quadrado está relacionada com a medida do seu lado, mais precisamente existe uma regra que afirma "a área de um quadrado é igual ao produto dos seus lados". Essa regra é chamada de lei da função, ou simplesmente função. Se olharmos do ponto de vista dos conjuntos, uma função conecta elementos de dois grupos. No caso citado, ela conecta uma medida linear com uma medida de área.
Rory Gilmore- Monitor
- Mensagens : 1860
Data de inscrição : 28/05/2019
Localização : Yale University - New Haven, Connecticut
Daira Rezende3 gosta desta mensagem
Re: Funções
Perfeito
Amei sua explicação, mas como isso se relaciona com a definição de múltiplas possibilidades que li sobre este assunto?
Como a ideia de relacionar coisas se adequa ao raciocínio dos gráficos? Ademais, obrigada pela resposta.
Amei sua explicação, mas como isso se relaciona com a definição de múltiplas possibilidades que li sobre este assunto?
Como a ideia de relacionar coisas se adequa ao raciocínio dos gráficos? Ademais, obrigada pela resposta.
Daira Rezende3- Padawan
- Mensagens : 53
Data de inscrição : 28/09/2020
Idade : 23
Rory Gilmore gosta desta mensagem
Re: Funções
Imagine um móvel se movendo em MRU com velocidade V
A distância d percorrida por ele, depende do tempo t de percurso, isto é, d é função de t:
d = V.t
E existem muitos outros exemplos:
O rendimento de uma aplicação financeira é função da taxa de juros.
O gasto total na compra de laranjas é função da quantidade de laranjas.
O tempo de uma obra é função da quantidade de operários trabalhando
O tempo para encher uma piscina é função da vazão da torneira
etc.
A distância d percorrida por ele, depende do tempo t de percurso, isto é, d é função de t:
d = V.t
E existem muitos outros exemplos:
O rendimento de uma aplicação financeira é função da taxa de juros.
O gasto total na compra de laranjas é função da quantidade de laranjas.
O tempo de uma obra é função da quantidade de operários trabalhando
O tempo para encher uma piscina é função da vazão da torneira
etc.
Elcioschin- Grande Mestre
- Mensagens : 72229
Data de inscrição : 15/09/2009
Idade : 77
Localização : Santos/SP
Rory Gilmore e Daira Rezende3 gostam desta mensagem
Re: Funções
Mas e os gráficos gente?
Daira Rezende3- Padawan
- Mensagens : 53
Data de inscrição : 28/09/2020
Idade : 23
Rory Gilmore gosta desta mensagem
Re: Funções
@Daira Rezende3, oi! Eu tentei representar como funcionaria graficamente a função num gráfico xOy, do exemplo que o mestre nos deu:
[latex]d(x) = 2 \cdot t[/latex]
d(x) vai ser o teu resultado, o espaço em que o móvel vai estar decorrente do tempo t. Daí para cada t, vai haver um valor de d. Com isso, a gente pode colocar num gráfico, onde a vertical (ordenada) é a resposta e a horizontal (abscissa) é os valores que você vai dar para o tempo (t):
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)
[latex]d(x) = 2 \cdot t[/latex]
d(x) vai ser o teu resultado, o espaço em que o móvel vai estar decorrente do tempo t. Daí para cada t, vai haver um valor de d. Com isso, a gente pode colocar num gráfico, onde a vertical (ordenada) é a resposta e a horizontal (abscissa) é os valores que você vai dar para o tempo (t):
imAstucia- Recebeu o sabre de luz
- Mensagens : 103
Data de inscrição : 23/03/2022
Rory Gilmore e Daira Rezende3 gostam desta mensagem
Re: Funções
Daira
Para cada função o gráfico pode ser diferente
1) Nesta primeiro exemplo, que o colega mostrou acima o gráfico é uma reta crescente
2) O mesmo ocorre para o rendimento financeiro, em função de i
Já nos meus dois outros exemplos o gráfico seria uma hipérbole, pois:
a) Quanto maior o número de operários, menor o tempo da obra (e vice versa)
b) Quanto maior a vazão da torneira, menor o tempo de enchimento da piscina (e vice versa)
E existem muitos outros gráficos: uma parábola, uma função logarítmica, uma função exponencial, uma função senoidal, etc., etc., etc.
Para cada função o gráfico pode ser diferente
1) Nesta primeiro exemplo, que o colega mostrou acima o gráfico é uma reta crescente
2) O mesmo ocorre para o rendimento financeiro, em função de i
Já nos meus dois outros exemplos o gráfico seria uma hipérbole, pois:
a) Quanto maior o número de operários, menor o tempo da obra (e vice versa)
b) Quanto maior a vazão da torneira, menor o tempo de enchimento da piscina (e vice versa)
E existem muitos outros gráficos: uma parábola, uma função logarítmica, uma função exponencial, uma função senoidal, etc., etc., etc.
Elcioschin- Grande Mestre
- Mensagens : 72229
Data de inscrição : 15/09/2009
Idade : 77
Localização : Santos/SP
Rory Gilmore, Daira Rezende3 e imAstucia gostam desta mensagem
Re: Funções
Haaaaaa sim
É só uma forma de representar a variação das coisas a partir de uma função...
Incrível como leio uma definição mil vezes, mas ela só entra em minha cabeça quando alguém separa por sílabas e, literalmente, desenha kkk
Bom, estou imensamente grata pela resposta de cada um de vocês: @Elcioschin, @imAstucia e @Rory Gilmore.
Desejo o melhor para todos
É só uma forma de representar a variação das coisas a partir de uma função...
Incrível como leio uma definição mil vezes, mas ela só entra em minha cabeça quando alguém separa por sílabas e, literalmente, desenha kkk
Bom, estou imensamente grata pela resposta de cada um de vocês: @Elcioschin, @imAstucia e @Rory Gilmore.
Desejo o melhor para todos
Daira Rezende3- Padawan
- Mensagens : 53
Data de inscrição : 28/09/2020
Idade : 23
Rory Gilmore e imAstucia gostam desta mensagem
Re: Funções
Exatamente isto:
Uma função é uma fórmula ou uma descrição matemática.
O gráfico correspondente é uma representação visual da função.
Ele mostra como a função (no eixo y) varia, com a variação do domínio (no eixo x)
Uma função é uma fórmula ou uma descrição matemática.
O gráfico correspondente é uma representação visual da função.
Ele mostra como a função (no eixo y) varia, com a variação do domínio (no eixo x)
Elcioschin- Grande Mestre
- Mensagens : 72229
Data de inscrição : 15/09/2009
Idade : 77
Localização : Santos/SP
Rory Gilmore e Daira Rezende3 gostam desta mensagem
![-](https://2img.net/i/empty.gif)
» Funções (equações dentro de funções)
» Quantas combinações (funções) de A para B podem existir para cada uma das funções.
» Funções
» Funções
» (ITA) - Funções
» Quantas combinações (funções) de A para B podem existir para cada uma das funções.
» Funções
» Funções
» (ITA) - Funções
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