Chapter 2.4, Problem 18E

Sketching graphs Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the following conditions.

$g(2)=1,g(5)=-1,\underset{x\to 4}{\lim }g(x)=-\infty ,\underset{x\to 7^{-}}{\lim }g(x)=\infty ,\underset{x\to 7^{+}}{\lim }g(x)=-\infty$