sketch a graph of a function f(x) with the following properties

Question

1. the domain of f is [0,5]
2. lim_x-->1- F(x) and lim_x--+ F(x) exist and are equal
3. F(X) has a removeable discontinuity at x=1
4. F(x) has a jump discontinuity at x=2
5. The following limits hold lim_x-->3- F(x)=infinity and lim_x-->3+ f(x)=2

Thanks alot any help will be appreciated!!

Answer 1