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power functions
author
Andrew Lorimer
<andrew@lorimer.id.au>
Tue, 5 Feb 2019 23:23:57 +0000
(10:23 +1100)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Tue, 5 Feb 2019 23:23:57 +0000
(10:23 +1100)
methods/transformations.md
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diff --git
a/methods/transformations.md
b/methods/transformations.md
index ce58a1082ff7c611c7a53335bc2a55332e952505..ae201e019c696bcb017dd7e05db9c87247145833 100644
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methods/transformations.md
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methods/transformations.md
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+36,14
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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)
$A$ - 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