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Calculus › Continuity › Continuity of piecewise functions

Piecewise function coefficients sum

Middle school · ●○○○○ 10 pts

Let f(x)={ax+3 if x>0,ab if x=0,bx+c if x<0.f(x) = \left\{ \begin{array}{cl} ax+3 & \text{ if }x>0, \\ ab & \text{ if }x=0, \\ bx+c & \text{ if }x<0. \end{array} \right. If f(2)=5f(2)=5, f(0)=5f(0)=5, and f(−2)=−10f(-2)=-10, and aa, bb, and cc are nonnegative integers, then find a+b+ca+b+c.

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piecewise functionssystems of equations