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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. Homework Help ✎

    • He changed directions three times during his 8-foot walk.

    • His average velocity was 0 feet per second.

    • Theo walked for 6 seconds and started 5 feet from the motion detector.

Clue 1: A change in direction means the slope goes from positive to negative or negative to positive. An 8-foot walk means that, when you add together all the distances traveled between each high and low point on the graph, the sum is 8.

Clue 2: An average velocity of 0 means that Theo should end exactly where he started.

Clue 3: If Theo walked for 6 seconds, then the domain of the graph is restricted to 0≤x≤6. If Theo started 5 feet from the motion detector, then the y-intercept is (0,5)