For each of the following function definitions, give the graph of the function. Say whether this is a partial function or a total function on the integers. If the function is partial, say where the function is defined and undefined.

Functions:

(a) f(x) = if x + 2 > 3 then x * 5 else x /0

(b) f(x) = if x < 0 then 1 else f(x - 2)

(c) f(x) = if x = 0 then 1 else f(x - 2)