Examine the \( \quad \) function for continuity at \( x=1 \) and differentiability at \( x=2 \)....

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Examine the \( \quad \) function for continuity at \( x=1 \) and differentiability at \( x=2 \).
\[
f(x)=\left\{\begin{array}{cl}
5 x-4, & 0x1 \\
4 x^{2}-3 x, & 1x2 \\
3 x+4, & x \geq 2
\end{array}\right.
\]
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