The present invention is directed to a method for making a graphically-printed component for an absorbent disposable article. The method comprises providing a molten polymer by feeding polymer chips into an extruder and melting the polymer chips. The molten polymer is extruded in the form of a thermoplastic polymer film onto a provided nonwoven fabric in an in-line process, in which the film has a basis weight of about 10 gsm, to provide a backsheet comprising the film and the nonwoven fabric. The backsheet on the film is graphically printed with printing means to provide a graphically printed backsheet. The graphically printed back sheet is wound into a roll good, or an absorbent core is positioned between it and a liquid permeable topsheet to provide an absorbent disposable article.