[methods] corrections to exp/log notes

diff --git a/methods/stuff.md b/methods/stuff.md
index 78c98978c72eaaaeb392b86aa58abcfa3afcf77f..1f5d04040631716dfbf9a4412b2e007801090b57 100644 (file)
--- a/methods/stuff.md
+++ b/methods/stuff.md
@@ -80,11 +80,11 @@ $k$ is a constant
 For continuous growth, $k > 0$  
 For continuous decay, $k < 0$
 
 For continuous growth, $k > 0$  
 For continuous decay, $k < 0$
 

-## Graphing expomnential functions
+## Graphing exponential functions

 
 $$f(x)=Aa^{k(x-b)} + c, \quad \vert \> a > 1$$
 
 
 $$f(x)=Aa^{k(x-b)} + c, \quad \vert \> a > 1$$
 

-- **$y$-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 $(c, \infty)$
 - **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 $(b, \infty)$
 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
 - **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 a15caf88d53e6688361b98525c5c670f69250ea0..59b86cfafd10ba7e47195132101affb64f1f03b3 100644 (file)
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