Use addEventListener:
document.getElementById('change').addEventListener("keyup", function (evt) {
console.log(this.value);
}, false);
Demo: http://jsfiddle.net/tusharj/y9xcoqja/
Docs: https://developer.mozilla.org/en-US/docs/Web/API/EventTarget/addEventListener
The EventTarget.addEventListener() method registers the specified listener on the EventTarget it's called on. The event target may be an Element in a document, the Document itself, a Window, or any other object that supports events (such as XMLHttpRequest).
EDIT
To bind multiple events on the same element:
var element = document.getElementById('change');
function myEventHandler(event) {
}
element.addEventListener("keyup", function (evt) {
myEventHandler(evt);
}, false);
element.addEventListener("change", function (evt) {
myEventHandler(evt);
}, false);