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Home > CALC > Chapter 1 > Lesson 1.5.1 > Problem 1-194


Theo has done it again. Before he lost his graph, he used it to determine the following properties of his motion. Help him re-create a possible graph of this motion.

  • He changed directions three times during his -foot walk.

  • His average velocity was feet per second.

  • Theo walked for seconds and started feet from the motion detector.

Clue 1: A change in direction means the slope goes from positive to negative or negative to positive. An -foot walk means that, when you add together all the distances traveled between each high and low point on the graph, the sum is .

Clue 2: An average velocity of means that Theo should end exactly where he started.

Clue 3: If Theo walked for seconds, then the domain of the graph is restricted to . If Theo started feet from the motion detector, then the -intercept is .