Let f:R→R be defined as f(x)={\begin{matrix}2\mathrm{sin}(-\frac{\pi x}{2}), & \mathrm{if}x<-1 \\ |a{x}^{2}+x+b|, & \mathrm{if}-1\leq x\leq 1 \\ \mathrm{sin}(\pi x), & \mathrm{if}x>1\end{matrix}
If f(x) is continuous on R, then a+b equals :
Held on 26 Feb 2021 · Verified 6 Jul 2026.
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