Match the following lists: \begin{tabular}{|c|l|} \hline List \( \m...

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Match the following lists:
\begin{tabular}{|c|l|}
\hline List \( \mathbf{I} \) & \multicolumn{1}{|c|}{ List II } \\
\hline a. At \( x=1, f(x)=\left\{\begin{array}{l}\log x, x1 \\
2 x-x^{2}, x \geq 1\end{array}\right. \) & p. is increasing \\
b. At \( x=2, f(x)=\left\{\begin{array}{ll}x-1, x2 \\
0, & x=2 \\
\sin x, x2\end{array}\right. \) \\
c. At \( x=0, f(x)=\left\{\begin{array}{ll}2 x+3, & x0 \\
5, & x=0 \\
x^{2}+7, x0\end{array}\right. \) \\
q. is decreasing \\
d. At \( x=0, f(x)=\left\{\begin{array}{ll}e^{-x} & x0 \\
0, & x=0 \\
-\cos x, x0\end{array}\right. \) \\
\hline
\end{tabular}
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