From: Andrew Lorimer <andrew@lorimer.id.au>
Date: Sun, 17 Mar 2019 04:42:01 +0000 (+1100)
Subject: [methods] corrections to exp/log notes
X-Git-Tag: yr12~201
X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/0a9f151d9462ea7950f985e6d62b35f4c1c4b5d2?hp=06f0a815384df34b94cf6ac201e7d5ef67de3b73

[methods] corrections to exp/log notes
---

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 $\mathbb{R}^+$
+- **range** is $\mathbb{R}$
 - **vertical asymptote** at $x=b$
 - $y$-intercept exists if $b<0$
 - dilation of factor $A$ from $x$-axis
diff --git a/methods/stuff.pdf b/methods/stuff.pdf
index a15caf8..59b86cf 100644
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