1.
Sketch a rough graph of the function whose inputs are times between 29
June 2000 and yesterday and whose outputs are the average length of your
hair at that time. Label the axes appropriately.
2.
Sketch a rough graph of the function whose inputs are times on a typical
Monday morning and whose outputs are the distances between you and your
room at those times. Label the axes appropriately.
3.
Sketch a rough graph of the function whose inputs are times during a typical
calculus class and whose outputs measure your levels of alertness at those
times. Label the axes appropriately.
4.
You add two ice cubes to a glass of tap water on a hot day. Sketch a rough
graph of the function whose inputs are times after the ice cubes enter
the glass and whose outputs are temperatures of the water at those times.
Label the axes appropriately.
5. Sketch a rough graph of some function whose inputs are times and whose outputs are some measurable quantity in your life. Put scales but not necessarily labels on the axes and see if anyone can guess what the output represents.