Figure

Figure 10 (a) Domain:

$\left[ 0,\dfrac{3\pi }{2}\right]$
(b) Continuous on

$\left[ 0,\dfrac{3\pi }{2}\right]$
(c) Absolute maximum value:

$f( 0) =1$
Absolute minimum value:

$f( \pi ) =-1$
(d) No local maximum value;
local minimum value:

$f( \pi ) =-1$