Abstract: Visually representing a composite graph of image functions includes providing a visual representation of a composite graph for an image, the visual representation including first items corresponding to respective image functions, and second items corresponding to containers for image functions, the image to be rendered by performing the image functions in an order defined by the composite graph. The user selects an expansion mode for presenting contents of a first container, each of the containers having a first expansion mode wherein the contents are displayed generally adjacent the visual representation, and a second expansion mode where the contents are displayed generally within the visual representation. A modified visual representation of the composite graph is provided in response to the input, wherein the modified visual representation maintains the order of the image functions defined by the composite graph and has the first container expanded according to the selected expansion mode.