A little JavaScript problem

In fact, this isn't about JavaScript, but that's the context I've discussed it in. I encourage you to think about it in more programming languages. (are there languages in which this can't be done?)

The problem: define functions range, map, reverse and foreach, obeying the restrictions below, such that the following program works properly. It prints the squares of numbers from 1 to 10, in reverse order.

var numbers = range(1, 10);
numbers = map(numbers, function (n) { return n * n });
numbers = reverse(numbers);
foreach(numbers, console.log);

/* output:

   100
   81
   64
   49
   36
   25
   16
   9
   4
   1
*/

Restrictions

• You must not use arrays. The square bracket characters, [ and ], are forbidden, as well as Array constructor.

• You must not use objects. The curly braces, { and }, and the dot character (.) are forbidden. You may use curly braces for code blocks, but not for creating JavaScript objects.

• Should go without saying, these functions must be generic and do what their name implies. They must not be hard-coded for the particular 1..10 example.

Feel free to define utilities; you don't have to restrict your program to these 4 functions. It does not matter how fast, small or elegant it is — if you can do it within the limitations above, I think you're an above-average programmer and I would probably hire you. (however: I'm not hiring)

Just for reference, my implementation (in ES6) is 8 lines of code, and it isn't totally unreadable. :-)

PS: please don't post your solutions, or links, here. I will not publish them. But feel free to email me in private if you really want me to look into it.