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

  • limxf(x)=2\displaystyle \lim_{{{x}\to\infty}}{f{{\left({x}\right)}}}={2}
  • limxf(x)=0\displaystyle \lim_{{{x}\to-\infty}}{f{{\left({x}\right)}}}={0}
  • limx4f(x)=\displaystyle \lim_{{{x}\to-{4}^{{-}}}}{f{{\left({x}\right)}}}=-\infty
  • limx4+f(x)=\displaystyle \lim_{{{x}\to-{4}^{{+}}}}{f{{\left({x}\right)}}}=\infty
Which of the following might be a graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}}?