Give more examples of total and partial functions on natural numbers. To test whether a number is even or odd, a student has designed the following function: test(x) def = if x = 0 then "even" else...

Give more examples of total and partial functions on natural numbers.

To test whether a number is even or odd, a student has designed the following function:

test(x) def = if x = 0 then "even"

else if x = 1 then "odd" else test(x-2)

Is this a total function on the set of integer numbers? Is it total on the

natural numbers?