If \( f(x)=\left\{\begin{array}{cc}3 x^{2}+12 x-1, & -1 \leq x \leq 2 \\ 37-x, & 2x \leq 3\end{a...

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If \( f(x)=\left\{\begin{array}{cc}3 x^{2}+12 x-1, & -1 \leq x \leq 2 \\ 37-x, & 2x \leq 3\end{array}\right. \), then
(a) \( f(x) \) is increasing on \( [-1,2] \)
(b) \( f(x) \) is continuous on \( [-1,3] \)
(c) \( f^{\prime}(2) \) does not exist
(d) \( f(x) \) has the maximum value at \( x=2 \)
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