Question

graph a function f that satisfies all of the following:

lim_(x->inf) f(x)=-2
lim_(x->-inf) f(x)=1
lim_(x->0-) f(x)=-inf
lim_(x->0+) f(x)=inf
lim_(x->6-) f(x)=inf
lim_(x->6+) f(x)=inf

f continuous on [1,5]; f(2)>0, f(3)<0, f(4)>0.