Partial and Total Functions
For each of the following function de?nitions, 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 de?ned and unde?ned.
For example, the graph of f(x) = if x> 0 then x + 2 else x/0 is the set of ordered pairs
{(x, x + 2)| x > 0}. This is a partial function. It is de?ned on all integers greater than 0 and unde?ned on integers less than or equal to 0.
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)