How would one find the possible formula of f(x)?

1. The function f(x) satisfies each of the following. . f(0) = 5 lim f(x) = 00 T- -1 . lim f(x) = -0o lim f(x) = 00 x-+3+ . lim f(x) = 4 . lim f(x) = 4 I - - 0o x -+ 00 (a) (6 points) Sketch what this function might look like. (b) (5 points) Find a possible formula for this function. Explain each factor that appears in your formula