If

f$($x$)=$ x$3+1,$

then give the following.

$($a$)$

the value of f at

x $=1$

is

f$$

$=$

$($b$)$

the value of f at

x $=3$

is

f$$

$=$

$($c$)$

the net change in the value of f between

x $=1$

and

x $=3$

is

f$$

$$ f$(1)=$