Precalculus

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The problem is:

Rewrite f(x) = abs(x-2) + [2 * abs(x+5)]

I don't even know where to start.
PLEASE HELP!!!!!!

  • Precalculus -

    I don't really see a benefit in rewriting it, since it compactly says what the function is in one statement, but you could also write it this way:

    When x>2, f(x) = x - 2 +2x +10 = 3x + 8
    When -5<x<2, f(x) = 2-x+2x +10 = x + 12
    When -5>x, f(x) = 2-x -2x -10 = -3x -8

    The function is continuous, but its slope is not

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