Graph p(x)=15xx2+1\displaystyle {p}{\left({x}\right)}=\frac{{-{15}{x}}}{{{x}^{{2}}+{1}}} on your calculator and answer the following questions.

p(x)\displaystyle {p}{\left({x}\right)}  is increasing on the interval(s):   

 p(x)\displaystyle {p}{\left({x}\right)}  is decreasing on the interval(s):   

p(x)\displaystyle {p}{\left({x}\right)} has a maximum of   at x =

 p(x)\displaystyle {p}{\left({x}\right)}  has a minimum of   at x =

The domain of p(x)\displaystyle {p}{\left({x}\right)} is:   

The range of p(x)\displaystyle {p}{\left({x}\right)} is:   

If any of the above do not exist, leave the answer box blank.