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anonymous

  • one year ago

http://www.webassign.net/scalcet7/4-3-006.gif (a) On what intervals is f increasing? (Enter your answer using interval notation.) b)On what intervals is f decreasing? (Enter your answer using interval notation.) For a i have (2,4) and for be I have (0,2)U(4,6) i just want to make sure its right

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  1. anonymous
    • one year ago
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    the graph is for f'(x). f(x) increases when f'(x) is positive and decreases when it's negative.

  2. anonymous
    • one year ago
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    are my answers correct?

  3. anonymous
    • one year ago
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    no. you gave intervals where the derivative increases/decreases

  4. anonymous
    • one year ago
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    do you understand why your answer is wrong and how to get the correct intervals?

  5. anonymous
    • one year ago
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    I understand why its wrong, but Im not sure how to get the right intervals

  6. anonymous
    • one year ago
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    f will increase on intervals where the graph is positive and decrease where the graph is negative.

  7. anonymous
    • one year ago
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    For example the graph is positive from 0 to 1, so f increases on the interval [0, 1).

  8. anonymous
    • one year ago
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    oh okay i think i understand, um so for a it would be (3,5)?

  9. anonymous
    • one year ago
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    and (0,1)

  10. anonymous
    • one year ago
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    yes

  11. anonymous
    • one year ago
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    and for b it would be (1,3) and (5,6)

  12. anonymous
    • one year ago
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    At what values of x does f have a local maximum or minimum? (Enter your answers as a comma-separated list.) Im not really sure how to solve for this part

  13. anonymous
    • one year ago
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    yes, although I think you should use brackets [] for the 0 and 6 because of the closed circles.

  14. anonymous
    • one year ago
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    local maximums and minimums are where the derivative is 0, so pick out the x-intercepts of your graph

  15. anonymous
    • one year ago
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    okay so it would be 1,3 and 5?

  16. anonymous
    • one year ago
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    yes

  17. anonymous
    • one year ago
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    Thank you!!

  18. anonymous
    • one year ago
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    you're welcome

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