Draw a possible graph of y = f(x) given the following information: Do this on a separate sheet of paper. f ′ (x) > 0 for 3 < x < 6 f ′ (x) < 0 for x < 3 f ′ (x) < 0 for x > 6 f ′ (x) = 0 for x = 3 and x = 6 a. the graph is decreasing on (−∞, 3), increasing on (3, 6) and decreasing from (6, ∞) b. the graph is increasing on (−∞, 3), decreasing on (3, 6) and increasing from (6, ∞) c. the graph is decreasing on (−∞, 3), increasing on (3, 6) and constant on (6, ∞) d. The graph is decreasing on (−∞, 3), has slope at x = 3 zero and has slope at x = 6 greater than zero, but decreasing from (6, ∞): The function could be decreasing or increasing on (3, 6). e. None of these
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Draw a possible graph of y = f(x) given the following information:
Do this on a separate sheet of paper.
f ′ (x) > 0 for 3 < x < 6
f ′ (x) < 0 for x < 3
f ′ (x) < 0 for x > 6
f ′ (x) = 0 for x = 3 and x = 6
a. |
the graph is decreasing on (−∞, 3), increasing on (3, 6) and decreasing from (6, ∞) |
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b. |
the graph is increasing on (−∞, 3), decreasing on (3, 6) and increasing from (6, ∞) |
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c. |
the graph is decreasing on (−∞, 3), increasing on (3, 6) and constant on (6, ∞) |
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d. |
The graph is decreasing on (−∞, 3), has slope at x = 3 zero and has slope at x = 6 greater than zero, but decreasing from (6, ∞): The function could be decreasing or increasing on (3, 6). |
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e. |
None of these |

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