CPM Homework Help : CALC Problem 2-67

Sketch one function that satisfies all of the following conditions. Does your graph have any asymptotes?

Hint:

Function has a jump at $x = 3$ , since the limit as $x→3−$ does not agree with the limit as $x → 3+$ .

More Help:

Function has a different horizontal asymptote as $x → ∞$ than as $x → −∞$ .