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Cálculo Diferencial e Integral I/2. Funções.md
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@ -2,19 +2,19 @@ Seja $f : A \rightarrow B$ função. Definimos **imagem** de $f$ ( $Im(f)$ ou $I
**Exemplo:** Determine o domínio, contradomínio e a imagem das funções a seguir:
1. $f:A \rightarrow B$ com $A = \{1, 2, 3, 4, 5\}$, $B = \mathbb{Z}$ e $y = f(x) = 2x$
>$D(f) = A$
>$CD(f) = B$
>$Im(f) = \{2,4,6,8,10\}$
>$D(f) = A$
>$CD(f) = B$
>$Im(f) = \{2,4,6,8,10\}$
2. $g:\mathbb{R} \rightarrow \mathbb{R}$ com $y=g(x)=y^2$
> $D(g) = \mathbb{R}$
> $CD(g) = \mathbb{R}$
> $D(g) = \mathbb{R}$
> $CD(g) = \mathbb{R}$
> $Im(g) = \mathbb{R}_+ = [0, +\infty)$
**Exemplo:** Encontre o domínio e a imagem das funções a seguir:
1. $f(x) = |x|$
>$D(f) = \mathbb{R}$
>$D(f) = \mathbb{R}$
>$Im(f) = \mathbb{R}_+ = [0,+\infty)$
2. $f(x) = \dfrac{1}{x}$
>$D(f) = \mathbb{R}^* = \mathbb{R} - \{0\} = (-\infty, 0) \cup (0, \infty)$
>$D(f) = \mathbb{R}^* = \mathbb{R} - \{0\} = (-\infty, 0) \cup (0, \infty)$
>
3.