Suppose $\displaystyle {f{{\left({x}\right)}}}$ has $\displaystyle {f}{''}{\left({7}\right)}={0}$ but the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ does NOT have an inflection point $\displaystyle {x}={7}$.

Complete the following table.

$\displaystyle {x}$	$\displaystyle {1}$	$\displaystyle {7}$	$\displaystyle {12}$
$\displaystyle {f}{''}{\left({x}\right)}$		$\displaystyle {0}$

Based on your table, the graph of $\displaystyle {y}={f{{\left({x}\right)}}}$ is Select an answer concave up concave down until $\displaystyle {x}={1}$, and is Select an answer concave up concave down after.