Match Graph of Each Function...1

Discussion in 'Calculus' started by nycmathguy, Jun 10, 2022.

  1. nycmathguy

    nycmathguy

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    Calculus
    Section 2.8

    Screenshot_20220610-183154_Samsung Notes.jpg

    Please do (a) and (b) as a guide for me to do the rest.
     
    nycmathguy, Jun 10, 2022
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  2. nycmathguy

    MathLover1

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    in graphs from (a)-(d) we can find that the numbers of points with derivatives 0 are 2,0,1,3 respectively
    and, in I-IV the numbers of points that interact with x-axis are 1,2,3,0, respectively
    thus, from the above, we can get the answer:

    (a) goes with ( II)
    (b) goes with IV
    (c) goes with I
    (d) goes with III

    extra explanation for (b)
    (b) goes with IV, because the function in b is Increasing (f '>0), decreasing (f ' <0) and then increasing (f ' >0) .
    The derivative along each segment is a constant (that's why the graph of its derivative has 3 horizontal line segments)
     
    MathLover1, Jun 11, 2022
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  3. nycmathguy

    nycmathguy

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    Thanks for doing (a) through (d) but I requested (a) and (b) only as a guide for me to do the rest.
     
    nycmathguy, Jun 11, 2022
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  4. nycmathguy

    nycmathguy

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    You did more than requested here.
    Therefore, no need for


    Match Graph of Each Function...2.
     
    nycmathguy, Jun 11, 2022
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