detailed handwritten solution. do not copy from other sites.

5. Draw a graph of some unknown function f that satisfies the following: lim f(x) = 0, lim f(x) =1, lim f(x) = 00, lim f(x) = -co, lim f(x) =co, lim f(x) =00. X- - 10 x- -1+ x-+-1- x-+1+ x-+1- Brain Teaser (Optional) Explicitly determine functions (in the form of equations) for each question that satisfy the given conditions. You'll probably need to build piecewise functions. Some of them are pretty tough