Consider the piecewise linear function: f(x)={3x+10x≤−2ax+b−2<x<4x−12x≥4f(x) = \begin{cases} 3x+10 & x \le -2 \\ ax + b & -2 < x < 4 \\ x - 12 & x \ge 4 \end{cases} If ff is continuous, find a2+b2a^2 + b^2.

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