Question 863507
Domain:  All real numbers.
Range:  Check this using your known x values for the extreme points.
y-intercept:  When x=0,   0(-3)(-2)(-2)=0.
Zeros:  The function is already in factored form.  Read the zeros directly.  They are at x equals 0, 3, 2.


You should know some typical behavior of a degree four polynomial function which helps to determine intervals of increase and decrease.  The multiplicity of 2 for the zero at x=2 needs more care regarding function increase or decrease.  


( A graph WAS placed here but would not display correctly  ).

(  Another graph try  ):
{{{graph(300,300,-1,5,-3,3,x(x-3)(x-2)^2)}}}
Still not displaying properly. ... posting anyway.