Explain what each of the following mathematical statement mean in regard to the graph of f(x).

(1)f(2)=0

(2)lim x->0 f(x)=-infinity

(3) lim x->3+ f(x) = - infinity

(4)lim x->3- f(x)=infinity

(5) lim x->+/- infinity f(x)=0

(b)using our explanation from part(a),sketch the graph of this function.use dotted lines for any asymptotes

(c)find a formua for function f(x)that satisfies the conditions stated in part(a).briefly explain how you determined this function