Haskell

1.

Consider the function

f (x:xs) = x

What is its type? (5 points). Note: that "type" has a formal meaning in Haskell, that is, there is only one correct (and very precise) answer

Which (standard prelude) library function does "f" correspond to? (5 points)

Hint: put the definition of "f" into a Haskell script and then run it with GHCi to see how it behaves, and check the type with the ":type" command

2.

Consider the function

g [] = 0 g (x:xs) = 1 + g xs

What is its type? (5 points). Which library function does "g" correspond to? (5 points)