\usepackage{dblfloatfix}
\usepackage{enumitem}
\usepackage{fancyhdr}
-\usepackage[a4paper,margin=2cm]{geometry}
+\usepackage[a4paper,margin=1.8cm]{geometry}
\usepackage{graphicx}
\usepackage{harpoon}
+\usepackage{keystroke}
\usepackage{listings}
\usepackage{makecell}
\usepackage{mathtools}
\definecolor{peach}{HTML}{e6beb2}
\definecolor{lblue}{HTML}{e5e9f0}
-\newtcolorbox{cas}{colframe=cas!75!black, title=On CAS, left*=3mm}
-\newtcolorbox{warning}{colback=white!90!black, leftrule=3mm, colframe=important, coltext=important, fontupper=\sffamily\bfseries}
+\newtcolorbox{cas}{colframe=cas!75!black, fonttitle=\sffamily\bfseries, title=On CAS, left*=3mm}
+\newtcolorbox{warning}{colback=white!90!black, leftrule=3mm, colframe=important, coltext=darkgray, fontupper=\sffamily\bfseries}
\newtcolorbox{theorembox}[1]{colback=green!10!white, colframe=blue!20!white, coltitle=black, fontupper=\sffamily, fonttitle=\sffamily, #1}
\subsection*{One to one functions}
\begin{itemize} \tightlist
- \item
- \(f(x)\) is \emph{one to one} if \(f(a) \ne f(b)\) if
- \(a, b \in \operatorname{dom}(f)\) and \(a \ne b\)\\
- \(\implies\) unique \(y\) for each \(x\) (\(\sin x\) is not 1:1,
- \(x^3\) is)
- \item
- horizontal line test
- \item
- if not one to one, it is many to one
+ \item \(f(x)\) is 1:1 if \(f(a) \ne f(b) \> \forall \>\{a,b\} \in \operatorname{dom}(f)\) \\
+ \(\implies\) unique \(y\) for each \(x\)
+ \item e.g. \(\sin x\) is not 1:1, \(x^3\) is
+ \item horizontal line test
+ \item if not one to one, it is many to one
\end{itemize}
\subsection*{Odd and even functions}
\begin{figure*}[ht]
\centering
- \begin{tabularx}{\textwidth}{r|Y|Y}
+ \begin{tabularx}{\textwidth}{|r|Y|Y|}
+ \hline
+ \rowcolor{lblue}
& \(n\) is even & \(n\) is odd \\ \hline
\centering \(x^n, n \in \mathbb{Z}^+\) &