QUESTION $3*1$ POINT

Consider a continuous function $f(x).$ The function has critical points at $x=-7,x=-5,$ and $x=7.$ The table below shows the critical points of the function and the sign of $f^{\text{'}\text{'}}(x)$ on each critical point. At which value$($s$)$ of $x$ are local maxima guaranteed to occur?

$\backslash$table$[[$Critical Point,Sign of $f^{\text{'}\text{'}}(x)$ at Critical Point$],[-7,0],[-5,+],[7,-]]$

Select the correct answer below:

$-7$

$-5$

$7$

The function is not guaranteed to have a local maximum.