Chapter 9.A, Problem 37E

Rough Sketches of Functions. For each function, use your intuition or additional research, if necessary, to do the following.

1. Describe an appropriate domain and range for the function.

Make a rough sketch of a graph of the function. Explain the assumptions that go into your sketch.

Briefly discuss the validity of your graph as a model of the true function.

31. (altitude, temperature) when climbing a mountain 31. (day of year, high temperature) over a two-year period for the town in which you are living

(blood alcohol content, reflex time) for a single person

(number of pages in a book, time to read the book) for a single person

35. (time of day, traffic flow) at a busy intersection over a full day. 36. (price of gasoline, number of tourists in Yellowstone)

(number of people in a room, total number of different hand- shakes between two people)

(minutes after lighting, length of candle)

(time, population of China), where time is measured in years after 1900

(time of day, elevation of tide) at a particular seaside port over two days

(angle of cannon, horizontal distance traveled by cannonball)

(weight of car, average gas mileage)