(Solved): 3) Use the coordinate plane given below to graph a function \( f(x) \) that satisfies all of the gi ...

3) Use the coordinate plane given below to graph a function \( f(x) \) that satisfies all of the given information. - \( \lim _{x \rightarrow 0} f(x)=1 \), and \( f(0)=2 \). - \( \lim _{x \rightarrow 2} f(x) \) does not exist because \( \lim _{x \rightarrow 2^{+}} f(x) \neq \lim _{x \rightarrow 2^{-}} f(x) \). - \( x=4 \) is the only vertical asymptote. - \( \lim _{x \rightarrow-2^{+}} f(x)=f(-2)=0, \lim _{x \rightarrow-2^{-}} f(x)=-3 \). - The function is not defined at \( x=5 \).