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16 August, 11:23

How would the function f (x) = |x^2-x-2|

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  1. 16 August, 11:45
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    hello:

    Step-by-step explanation:

    f (x) = |x²-x-2|

    f (x) = x²-x-2 if : x²-x-2 ≥ 0

    f (x) = - (x²-x-2) if : x²-x-2 ≤ 0

    x²-x-2 = (x+1) (x-2)

    sign of : x²-x-2 is:

    x²-x-2 ≥ 0 : x≤ - 1 or x ≥ 2

    x²-x-2 ≤ 0 : - 1 ≤ x ≤ 2
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