Domínio e Imagem - Matemática

Dificuldade para entender o que é dominio e imagem?

Veja como entender:

Imagine que a temperatura de uma sala de aula é em função do números de alunos.










Digamos que a cada aluno na sala, a temperatura aumenta 0,1ºC.

Se fosse fazer uma equação para resolver, tal problema ficaria assim:

Línguagem matemática: T(Nº) = 25 + 0,1 x Nº

Línguagem portuguesa: A temperatura da sala em função do número de alunos é 25ºC + 0,1 x

Número de alunos.

DOMÍNIO - X
IMAGEM - Y

----------------------

Outro exemplo:










f(Quadrado) = A (A é a imagem de Quadrado por f)
f(Círculo) = 1 (1 é a imagem de Círculo por f)
f(Triângulo) = A ( A é a imagem de Círculo por f)

O conjunto A é o domínio de f.
Df = A

O conjunto B é o contra-domínio de f.
Co-Df = B

Imagem de F é o conjunto {1, a}.
Img f = {1, a}

--------------------------

Obs:

Domínio é um sinônimo de conjunto de saída.

Quando o contra-domínio não é dado, adota-se |R.

Quando o domínio não é dado torna-se como dominio o "maior" subconjunto de |R para o qual a função não apresenta restrições.

Termos: Df: |R; Co-Df = |R
Imf = {1}

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