Chapter 9.7, Problem 32P

During a 6-hour rainstorm, rain fell at a rate of 1 inch every hour 1 for the first 3 hours. During the next hour $\frac{1}{2}$ inch of rain fell During the last 2 hours, rain fell at a rate of $\frac{1}{4}$ inch every hour. This scenario gives rise to a rainfall function in which the input is the time elapsed since the rainstorm began and the output is the amount of rain that fell during the storm up to that time.

1. Make a table for the rainfall function.
2. Draw a graph of the rainfall function.
3. Is there a single equation for the rainfall function?