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Thread: critical point of curves

  1. #1
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    critical point of curves

    Simple question, what does it mean when a function is enclosed in ||?

    for example the equation f(x) = |x-5|
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  2. #2
    MHF Contributor ebaines's Avatar
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    The vertical bars signify "absolute value" of whatever is between them. Recall that the absolute value of something means its distance from 0, and is always given as a positive number or zero, but never negative. So for the function f(x) = |x-5| some of the values would be:

    f(-10) = |-10-5| = |-15| = 15
    f(0) = |0-5| = |-5| = 5
    f(5) = |5-5| = |0| = 0
    f(10) = |10-5| = |5| = 5
    f(15) = |15-5| = |10| = 10
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