showing something using jquery while typing?

i wanted to show an image, only when the person starts typing into the text field.

i.e.

$('#type').keyup(function(){
//show the images
    });

html

<input type="text" name="type" id="type">

<div id="showimage"></div>

image

showimage.jpg

jquery:

$('#type').keyup(function(){
   $('#image').show();
});

html:

<img id="image" src="showimage.jpg" style="display: none"/>