Let f:R→R be defined as f(x)=⎡⎢ ⎢ ⎢ ⎢⎣[ex],x<0aex+[x−1],0≤x<1b+[sin(πx)],1≤x<2[e−x]−c,x≥2 where a,b,c∈R and [t] denotes greatest integer less than or equal to t.
a) True
b) False