From: Andrew Lorimer <andrew@lorimer.id.au>
Date: Tue, 5 Feb 2019 23:23:57 +0000 (+1100)
Subject: power functions
X-Git-Tag: yr12~261
X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/e68f09f4885b722b93830842698cb51dba5d54b9

power functions
---

diff --git a/methods/transformations.md b/methods/transformations.md
index ce58a10..ae201e0 100644
--- a/methods/transformations.md
+++ b/methods/transformations.md
@@ -36,4 +36,14 @@ Functions must be written in form $y=Af[n(x+c)] + b$
 $A$ - dilation by factor $A$ from $x$-axis (if $A<0$, reflection across $y$-axis)  
 $n$ - dilation by factor $1 \over n$ from $y$-axis (if $n<0$, reflection across $x$-axis)  
 $c$ - translation from $y$-axis ($x$-shift)  
-$b$ - translation from $x$-axis ($y$-shift)
\ No newline at end of file
+$b$ - translation from $x$-axis ($y$-shift)
+
+## Power functions
+
+**Strictly increasing** on an interval where $x_2 > x_1 \implies f(x_2) > f(x_2)$ (including $x=0$)
+
+#### $n$ is odd and $n>1$:  
+$f(-x)=-f(x)$
+
+#### $n$ is even and $n>1$:
+$f(-x)=f(x)$
\ No newline at end of file