Added current files, mainly CIS258

MTH122/F25MB6_Notes_Greene_Isaac.tex

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+    pdftitle={F25IEC\_HW2\_Greene\_Isaac},
+    pdfauthor={Isaac Greene},
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+\lohead{F25MB6\_Notes\_Greene\_Isaac}
+\lofoot{No AI used <\href{http://ig7.us/ai}{ig7.us/ai}>. Built with \LaTeX.\\Work available under the Esoteric Common License <\href{http://ig7.us/license}{ig7.us/license}>.}
+\ohead*{\pagemark}
+
+\begin{document}
+\part*{MTH122:13 Notes}
+These notes have been digitally typeset and reassembled from scratch notes. 
+\tableofcontents
+
+\section{2025-09-03}
+Notes on domain and range\footnote{Dr. Filiz Dogru was our sub on Friday (Sep 5) because Mrs. Brott was out. She has been a math professor at GV for over 23 years.}
+Find domain and range. Domain is x-axis, and range is y-axis.
+y-intercept = $f(0)$ or $(0, c)$ 
+x-intercept = $\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=0$
+
+Direction (end behavior) = if a > 0, as $x \longrightarrow \infty$, graph goes up.
+
+Axis of symmetry and $x_{vertex} = \frac{-b}{2a}$ in standard form but simply "h" in vertex form.
+$y_{vertex} = f(x)$ where $x = \frac{-b}{2a}$
+
+\begin{equation}
+f(x) = 2x^{2}-x-1
+\end{equation}
+\begin{equation}
+f(x) = \frac{1}{2*2} = \frac{1}{4} = 0.25
+\end{equation}
+\begin{equation}
+Vertex = (0.25, -1.125)
+\end{equation}
+\begin{equation}
+\frac{+1\pm\sqrt{-1^{2}-4(2)(-1)}}{2(2)}
+\end{equation}
+\begin{equation}
+\frac{1\pm\sqrt{1+8}}{4}
+\end{equation}
+\begin{equation}
+\frac{1\pm\sqrt{9}}{4} = \frac{1\pm3}{4} = \frac{-2}{4} and \frac{4}{4}\ so\ x=\{-0.5, 1\}
+\end{equation}
+
+\section{2025-09-10}
+\begin{equation}(x+2)(x+3)=0\end{equation} $\\6x^{2}+x-1=0\\
+x^{2}+5x+6x=0$
+\hrule
+$5x^{2}-7x+2=0$
+\begin{enumerate}
+\item When $a \neq 1$, multiply first and last term, ($5x^{2}\cdot2=10x$)
+\item Find two numbers that multiply to (first * last) and add to the middle term
+\item Replace middle term with the found numbers
+\item Split the polynomial in half, like $5x^{2}-5x-2x+2$ becomes $(5x^{2}-5x) | (-2x+2)$
+\item Factor each group
+\end{enumerate}
+$\frac{(5x^{2}}{5x}-\frac{5x)}{5x}$
+\end{document}