\textbf{Strictly increasing:} \(f(x_2) > f(x_1)\) where \(x_2 > x_1\)
(including \(x=0\))
-\subsubsection*{Odd and even functions}
-
-Even when \(f(x) = -f(x)\)\\
-Odd when \(-f(x) = f(-x)\)
-
-Function is even if it can be reflected across \(y\)-axis
-\(\implies f(x)=f(-x)\)\\
-Function \(x^{\pm {p \over q}}\) is odd if \(q\) is odd
-
\subsubsection*{\(x^{-1 \over n}\) where \(n \in \mathbb{Z}^+\)}