A growing body of literature on diffusion processes within spatially hierarchical, or multiscale, materials has been directed at a re-examination of the fractional order calculus as a tool for capturing the behavior of transport phenomena observed in the materials' natural analogs, such as rocks. Because low-frequency electromagnetic induction is also a diffusion process (in contrast to the wave-like behavior at higher frequencies), we have been investigating the utility of fractional calculus in modeling and interpretation of electromagnetic geophysical data. To better understand the effects of a frational derivative/itegral operator on simple functions, the case for the unit function, f=1, is presented here (based on figure 4.1.1 in "The Fractional Calculus" by K. Oldham and J. Spanier, Academic Press, 1970).