I have a function that accepts the element it needs to operate on as a parameter element
function changeColor(element){
   $(element).find('.middleBox').each(function(){
       $(this).//do some stuff that does not matter now;
   });
}
and I call it this way
changeColor($(document)); //this applies it to the whole document
changeColor($('#sectionOne')); //this applies it to only part of the document 
I want to change it from the format where it accepts its object as a param to this format. How do I do it
$('#sectionOne').changeColor();
$(document).changeColor();
                As Nikita said, you need to write a jQuery plugin. Here's a basic example, which should be enough for what you are trying to do:
(function($) {
    $.fn.changeColor = function() {
        return this.each(function() {
            $(this).find('.middleBox').each(function() {
                $(this).//do some stuff that does not matter now;
            });
        });
    };
})(jQuery);
                        You want to create a jQuery plugin. jQuery folks provide a tutorial for that.
If you don't like reading much, you can practically copy-paste maxHeight example and replace logic inside.
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