Tricky question with a capacitor + resistor..?

Am in a basic course of electrophys and physiology. Instructor started talking about time constants and capacitors. S he gave us homework which I solved all except this tricky one. A circuit with a switch, one R which is 1M ohms, one capacitor which is 1u F, and a 9V battery. He said once we close the switch plot: Vc (voltahe change in Capacitor), Vr (voltage change in R), and Ic (current of capacitor). He has three places with x (time) and y axis. Axes has Vc, Vr, or Ic. I plotted them all and want to see if they are correct. Here is what I have. For Vc: exponential growth until it reaches 9V. With Vr exponential drop from 9V to close to zero, and the same for Ic. Am not sure what units should time be.