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math-calculus

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write the following absolute value functions as piecewise functions.

i really not get how to do this

f(x) = |x|
i think im supposed to state as positive and negative but i not even know what that x means. i only guessing and saying that for positive it be a positive x and for negative it be a negative x.

this one is harder

g(x) = |x+1|
is this part of formula y = a|x-p|+1 so that mean that x+1 is negative horizontal translation and we need to make it positive going |x-1|
and for negative it be |x+1|

  • math-calculus -

    |N| = N if N >=0
    |N| = -N if N < 0

    f(x) = |x| =
    x if x >= 0
    -x if x < 0

    g(x) = |x+1| =
    x+1 if x+1 >= 0 (that is, if x >= -1)
    -(x+1) if x+1 < 0

  • math-calculus -

    thanks very much steve :)

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