Let f(x)=⌊x⌋f(x) = \lfloor x \rfloorf(x)=⌊x⌋ and g(x)=sin(πx)g(x) = \sin(\pi x)g(x)=sin(πx). What is the range of (f∘g)(x)(f \circ g)(x)(f∘g)(x)?
{−1,0,1}\{-1, 0, 1\}{−1,0,1}
{0,1}\{0, 1\}{0,1}
[−1,1][-1, 1][−1,1]
{0}\{0\}{0}