The following defines two classes, ClassA and ClassB, with equal functionality but different in nature:
function ClassA(name){
    this.name = name;
    // Defines method ClassA.say in a particular instance of ClassA
    this.say = function(){
        return "Hi, I am " + this.name;
    }
}
function ClassB(name){
    this.name = name;
}
// Defines method ClassB.say in the prototype of ClassB
ClassB.prototype.say = function(){
    return "Hi, I am " + this.name;
}
As shown below, they doesn't differ much in usage, and they are both "methods".
var a = new ClassA("Alex");
alert(a.say());
var b = new ClassB("John");
alert(b.say());
So now what you mean for "function", according to the msdn link that you gave as a comment, seems that "function" is just a "static method" like in C# or Java?
// So here is a "static method", or "function"?
ClassA.createWithRandomName = function(){
    return new ClassA("RandomName"); // Obviously not random, but just pretend it is.
}
var a2 = ClassA.createWithRandomName(); // Calling a "function"?
alert(a2.say()); // OK here we are still calling a method.
So this is what you have in your question:
var johnDoe =
{
      fName : 'John',
      lName: 'Doe',
      sayHi: function()
      {
        return 'Hi There';
      }
};
OK, this is an Object, but obviously not a class.