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Cálculo Diferencial e Integral I/2.1 Função exponencial.md
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@ -8,7 +8,8 @@ Sejam $0 < a \ne 1$, $0 < b \ne 1$ com $a \in \mathbb{R}$ e $b \in \mathbb{R}$
**Exemplo:** Esboce os gráficos a seguir e determine o conjunto imagem: **Exemplo:** Esboce os gráficos a seguir e determine o conjunto imagem:
1. $f(x) = 2^x - 1$ 1. $f(x) = 2^x - 1$
> $Im(f) = { x | x > -1 } = (-1, +\infty)$ > $Im(f) = { x | x > -1 } = (-1, +\infty)$
2. $f(x) = \log_{0,3}{(x-1)}$ 2. $f(x) = \log_{0.3}{(x-1)}$
> $x = 0 \Rightarrow (\log_{0,3}{(x-1)} \Rightarrow 0,3^()$ > $$x = 0 \Rightarrow \large(\log_{0.3}{(x-1)} = y \Rightarrow {0.3}^{y} = x-1) \Rightarrow$$
> $$x = 0 \Rightarrow \large(\log_{0.3}{(x-1)} = y \Rightarrow {0.3}^{y} = x-1) \Rightarrow$$
3. $f(x) = |log_100{x}|$ 3. $f(x) = |log_100{x}|$
4. $f(x) = |(\dfrac{1}{3})^x - 1|$ 4. $f(x) = |(\dfrac{1}{3})^x - 1|$