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Math Help - long problem (critical values, inflection points...)

  1. #1
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    long problem (critical values, inflection points...)



    (A) Find all critical values of , compute their average, and enter it below.
    Note: If there are no critical values, enter -1000.
    Average of critical values =
    (B) Use interval notation to indicate where is increasing.

    Note: Enter 'I' for , '-I' for , and 'U' for the union symbol.
    If you have extra boxes, fill each in with an 'x'.
    Increasing:



    (C) Use interval notation to indicate where is decreasing.
    Decreasing:



    (D) Find the -coordinates of all local maxima of , compute their average, and enter it below.
    Note: If there are no local maxima, enter -1000.
    Average of values =


    (E) Find the -coordinates of all local minima of , compute their average, and enter it below.
    Note: If there are no local minima, enter -1000.
    Average of values =


    (F) Use interval notation to indicate where is concave up.
    Concave up:



    (G) Use interval notation to indicate where is concave down.
    Concave down:



    (H) Find all inflection points of , compute their average, and enter it below.
    Note: If there are no inflection points, enter -1000.
    Average of inflection points =


    (I) Find all horizontal asymptotes of , compute the average of the values, and enter it below.
    Note: If there are no horizontal asymptotes, enter -1000.
    Average of horizontal asymptotes =


    (J) Find all vertical asymptotes of , compute the average of the values, and enter it below.
    Note: If there are no vertical asymptotes, enter -1000.
    Average of vertical asymptotes =
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  2. #2
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    Quote Originally Posted by tbenne3 View Post


    (A) Find all critical values of , compute their average, and enter it below.
    Note: If there are no critical values, enter -1000.
    Average of critical values =
    (B) Use interval notation to indicate where is increasing.

    Note: Enter 'I' for , '-I' for , and 'U' for the union symbol.
    If you have extra boxes, fill each in with an 'x'.
    Increasing:



    (C) Use interval notation to indicate where is decreasing.
    Decreasing:



    (D) Find the -coordinates of all local maxima of , compute their average, and enter it below.
    Note: If there are no local maxima, enter -1000.
    Average of values =


    (E) Find the -coordinates of all local minima of , compute their average, and enter it below.
    Note: If there are no local minima, enter -1000.
    Average of values =


    (F) Use interval notation to indicate where is concave up.
    Concave up:



    (G) Use interval notation to indicate where is concave down.
    Concave down:



    (H) Find all inflection points of , compute their average, and enter it below.
    Note: If there are no inflection points, enter -1000.
    Average of inflection points =


    (I) Find all horizontal asymptotes of , compute the average of the values, and enter it below.
    Note: If there are no horizontal asymptotes, enter -1000.
    Average of horizontal asymptotes =


    (J) Find all vertical asymptotes of , compute the average of the values, and enter it below.
    Note: If there are no vertical asymptotes, enter -1000.
    Average of vertical asymptotes =
    a lengthy list of laundry ... what have you attempted/completed ?
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