Chester Perepelitsa, the world’s cutest dog, loves to run (almost as much as he loves car rides, as shown in the images further down). The graph below displays Chester’s running activity on a recent day, with the vertical y-axis keeping track of his North-South position (in feet) relative to his home and the x-axis keeping track of time (in minutes). Several statements are provided below. Using the graph above, determine whether each one is TRUE or FALSE: - After returning home for the first time, Chester paused to take a break (before running South again). ___ - At approximately the 3 minute mark, Chester achieved his absolute maximum distance-from-home. ____ - At approximately the 3 minute mark, Chester achieved a local maximum distance-from-home. ____ - Four and a half minutes into his journey, Chester returned home for a second time, pausing for a moment before turning around to head south again. ____ - There where three points in time (in the interval [0, 8]) where Chester’s distance-from-home graph “satisfied the conclusion of the Mean Value Theorem.” _____ - Approximately seven minutes into Chester’s journey he turned around to head back home, arriving home at (approximately) the 8 minute mark. __
Chester Perepelitsa, the world’s cutest dog, loves to run (almost as much as he loves car rides, as shown in the images further down). The graph below displays Chester’s running activity on a recent day, with the vertical y-axis keeping track of his North-South position (in feet) relative to his home and the x-axis keeping track of time (in minutes).
Several statements are provided below. Using the graph above, determine whether each one is TRUE or FALSE:
- After returning home for the first time, Chester paused to take a break (before running South again). ___
- At approximately the 3 minute mark, Chester achieved his absolute maximum distance-from-home. ____
- At approximately the 3 minute mark, Chester achieved a
- Four and a half minutes into his journey, Chester returned home for a second time, pausing for a moment before turning around to head south again. ____
- There where three points in time (in the interval [0, 8]) where Chester’s distance-from-home graph “satisfied the conclusion of the Mean Value Theorem.” _____
- Approximately seven minutes into Chester’s journey he turned around to head back home, arriving home at (approximately) the 8 minute mark. ___
- Four and a half minutes into his journey, Chester returned home for a second time, pausing for a moment before resuming his journey Northward. ____
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