The graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}} has the following features:

  • f(1)=0\displaystyle {f{{\left({1}\right)}}}={0}
  • limx1f(x)=1\displaystyle \lim_{{{x}\to{1}^{{-}}}}{f{{\left({x}\right)}}}=-{1}
  • limx1+f(x)=2\displaystyle \lim_{{{x}\to{1}^{+}}}{f{{\left({x}\right)}}}=-{2}
Which of the following might be a graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}}?