Suppose $\displaystyle {f{{\left({x}\right)}}}$ has $\displaystyle {f}'{\left({7}\right)}={0}$ but does NOT have a local maximum or minimum value at $\displaystyle {x}={7}$.

Complete the following table by entering in possible values for $\displaystyle {f}'{\left({x}\right)}$ at $\displaystyle {x}={3}$ and $\displaystyle {x}={7}$.

$\displaystyle {x}$	$\displaystyle {3}$	$\displaystyle {7}$	$\displaystyle {15}$
$\displaystyle {f}'{\left({x}\right)}$		$\displaystyle {0}$

Based on your table, $\displaystyle {f{{\left({x}\right)}}}$ is Select an answer constant increasing decreasing until $\displaystyle {x}={7}$, and is Select an answer constant increasing decreasing after.