Suppose f(x)\displaystyle {f{{\left({x}\right)}}} has f(8)=0\displaystyle {f}{''}{\left({8}\right)}={0} but the graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}} does NOT have an inflection point x=8\displaystyle {x}={8}.

Complete the following table.

x\displaystyle {x}2\displaystyle {2}8\displaystyle {8}11\displaystyle {11}
f(x)\displaystyle {f}{''}{\left({x}\right)}0\displaystyle {0}


Based on your table, the graph of y=f(x)\displaystyle {y}={f{{\left({x}\right)}}} is until x=2\displaystyle {x}={2}, and is after.