$f(-x)=-f(x)$
#### $n$ is even and $n>1$:
-$f(-x)=f(x)$
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+$f(-x)=f(x)$
+
+### Function $f(x)=x^{-1 \over n}$ where $n \in \mathbb{Z}^+$
+
+Mostly only on CAS.
+
+We can write $x^{-1 \over n} = {1 \over {x^{1 \over n}}} = {1 \over ^n \sqrt{x}}$n. Domain is: $\begin{cases} \mathbb{R} \setminus \{0\}\hspace{0.5em} \text{ if }n\text{ is odd} \\ \mathbb{R}^+ \hspace{2.6em}\text{if }n\text{ is even}\end{cases}$
+
+**Odd and even functions:**
+Function is even if it can be reflected across $y$-axis $\implies f(x)=f(-x)$
+If $n$ is odd, then $f$ is an odd function since $f(-x)=-f(x) \implies f(x)=-f(x)$
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