$1.$

a$.$ The function f is decreasing on subinterval$($s$)$:

b$.$ The function f is never decreasing.

$2.$

a$.$ The function f is increasing on the subinterval$($s$)$:

b$.$ The function f is never increasing.

$3.$

a$.$ The function has a local maximum at x$=$

b$.$ The finction f has no local maximum

$4.$

a$.$ The function has a local minimum at x$=$

b$.$ The function f has no local minimum

$5.$

a$.$The graph of f is concave downward on the sub interval$($s$)$:

b$.$The function f is never concave downward.

$6.$

a$.$ The graph of f is concave upward on the sub interval$($s$)$:

b$.$The function f is never a concave upward.

$7.$

a$.$The function f has inflection points at x$=$

b$.$ The function f has no inflection points.