SOLUTION: Express the function f(x) = abs(x) + abs(x-2) without using absolute value signs.

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Question 1092613: Express the function f(x) = abs(x) + abs(x-2) without using absolute value signs.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can use a piecewise function.
Break up the function into three regions.
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x%3C0, m=-2
0%3C=x%2C=2,m=0
x%3E2,m=2
So,
x%3C0,
y-2=-2%28x-0%29
y-2=-2x
y=-2x%2B2
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0%3C=x%3C=2,
y=2
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x%3E2,
y-2=2%28x-2%29
y-2=2x-4
y=2x-2
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