MathematicsEasy179×since 2002Q4143Let f : R →\to→ R be defined as f(x)={\matrix2sin(−πx2),if x<−1\hfill\cr∣ax2+x+b∣, if−1≤x≤1\hfill\crsin(πx), if x>1\hfill\crf(x) = \left\{ \matrix{ 2\sin \left( { - {{\pi x} \over 2}} \right),if\,x < - 1 \hfill \cr |a{x^2} + x + b|,\,if - 1 \le x \le 1 \hfill \cr \sin (\pi x),\,if\,x > 1 \hfill \cr} \right.f(x)={\matrix2sin(−2πx),ifx<−1\hfill\cr∣ax2+x+b∣,if−1≤x≤1\hfill\crsin(πx),ifx>1\hfill\cr If f(x) is continuous on R, then a + b equals :A−-−3B3C−-−1D1Check answerSkip