First, determine the domain and range of the graph. In this case, both the domain and range are all real numbers.

Next, determine the intercepts, asymptotes, and symmetry of the graph.

Start by finding any x-intercepts.

or or

or or

Now find any y-intercepts.

There aren't any vertical asymptotes (because there isn't division by zero, square roots, etc.). There aren't any horizontal asymptotes either because, as x increases or decreases without bound, the graph decreases without bound.

Now determine if the graph is symmetric with respect to the y-axis.

Because -x(8 + 2x)(22 + 2x) is not equal to x(8 - 2x)(22 - 2x), the graph is not symmetric with respect to the y-axis.

Now let y = x(8 - 2x)(22 - 2x) to determine if the graph is symmetric with respect to the x-axis.

Because -x(8 - 2x)(22 - 2x) is not equal to x(8 - 2x)(22 - 2x), the graph is not symmetric with respect to the x-axis.

I have to go to class but I'll continue if nobody else has answered your question by the time I get home.