Find the absolute maximum and minimum, if either exists, for $\backslash ($ f$($x$)=$x$^\{2\}-10$ x$+1\backslash ).$

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The absolute minimum is $-24$ at $\backslash ($ x$=5\backslash ).$

B$.$ There is no absolute minimum.

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The absolute maximum is at $\backslash ($ x$=\backslash )$

B$.$ There is no absolute maximum.