Definitions of Relative Minimum & Relative Maximum

Discussion in 'Other Pre-University Math' started by nycmathguy, Jul 19, 2021.

  1. nycmathguy

    nycmathguy

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    Section 1.5
    Page 53

    See attachment.

    Can you explain the following using words? I am trying to make sense of the relative min and relative max definitions.

    20210718_192004.jpg
     
    nycmathguy, Jul 19, 2021
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  2. nycmathguy

    MathLover1

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    A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
    Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).
     
    MathLover1, Jul 19, 2021
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  3. nycmathguy

    nycmathguy

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    We can say a relative max is the top of a mountain.
    We can also say that a relative min is the valley.

    Yes?
     
    nycmathguy, Jul 19, 2021
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