The graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}} has f(5)=1\displaystyle {f{{\left({5}\right)}}}=-{1}, f(5)=2\displaystyle {f}'{\left({5}\right)}={2}, and f(5)=1\displaystyle {f}{''}{\left({5}\right)}=-{1}. Which of the following might be a graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}}?

Look carefully at all eight choices!