Given:

 f(x)=2x211\displaystyle {f{{\left({x}\right)}}}=-{2}{x}^{{2}}-{11} 

State the domain of the function. Then identify the range, any intercepts, and any symmetry.

(i) Domain =  

(ii) Range =  

(iii) x-intercepts =   

(iv) y-intercept =   

(iv) f(x)\displaystyle {f{{\left({x}\right)}}} is  and has