From 0a9f151d9462ea7950f985e6d62b35f4c1c4b5d2 Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Sun, 17 Mar 2019 15:42:01 +1100 Subject: [PATCH 1/1] [methods] corrections to exp/log notes --- methods/stuff.md | 6 +++--- methods/stuff.pdf | Bin 142203 -> 27454 bytes 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/methods/stuff.md b/methods/stuff.md index 78c9897..1f5d040 100644 --- a/methods/stuff.md +++ b/methods/stuff.md @@ -80,11 +80,11 @@ $k$ is a constant For continuous growth, $k > 0$ For continuous decay, $k < 0$ -## Graphing expomnential functions +## Graphing exponential functions $$f(x)=Aa^{k(x-b)} + c, \quad \vert \> a > 1$$ -- **$y$-intercept** at $(0, A \cdot a^{-kb}+c)$ +- **$y$-intercept** at $(0, A \cdot a^{-kb}+c)$ as $x \rightarrow \infty$ - **horizontal asymptote** at $y=c$ - **domain** is $\mathbb{R}$ - **range** is $(c, \infty)$ @@ -100,7 +100,7 @@ $$f(x)=A \log_a k(x-b) + c$$ where - **domain** is $(b, \infty)$ -- **range** is $\mathbb{R}^+$ +- 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