Chapter 2.4, Problem 17E

Sketching graphs Sketch a possible graph of a function f, together with vertical asymptotes, satisfying all the following conditions on [0, 4].

$f(1)=0,f(3)\text{is}\text{undefined,}\underset{x\to 3}{\lim }f(x)=1,\underset{x\to 0^{+}}{\lim }f(x)=-\infty ,\underset{x\to 2}{\lim }f(x)=\infty ,\underset{x\to 4^{-}}{\lim }f(x)=\infty$