Racket provides a procedure, (build-list n f). Parameter n is a natural number, and parameter f is a procedure that takes one argument, which is a natural number. build-list constructs a list by applying f to the numbers between 0 and n-1, inclusive.

In Racket, define these three procedures. Each procedure must call build-list. The procedure passed to build-list must be a lambda expression, not a named procedure:

In other words, (build-list n f) produces the same result as: (list (f 0) (f 1) .. (f (- n 1))) For example, given: (define (increment x) (+ x 1)) the expression (build-list 5 increment) produces this list: (1 2 3 4 5) Of course, the procedure passed to build-list can be a lambda expression: (build-list 5 (lambda (x) (+ x 1))) build-naturals returns the list (list 0.. (- n 1)) for any natural number n. Example: (build-naturals 5) returns (0 1 2 3 4). build-rationals returns the list (list 1... 5) for any natural number n. Example, (build-rationals 5) returns (1111) build-evens returns the list of the first n even natural numbers (note: O is an even number). Example: (build-evens 5) returns (0 2 4 6 8). 2 3 4 5