SOLUTION: I can't figure out what the answer y= - | x | -1 could be? i keep getting my answer wrong

Question 953349: I can't figure out what the answer y= - | x | -1 could be? i keep getting my answer wrong
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

x can be positive, or zero, or negative.
|x| can ONLY be ZERO OR POSITIVE. It can NEVER be negative.
-|x| can ONLY be negative or zero, based on the possibilities for |x|.

Be sure that you clearly understand that.

What kind of "answer" are you looking for? You already have y in terms of x. This is an equation for two half-lines. The critical x value is at 0.

Two cases occur for your equation.
x is non-negative and x is negative. Those are two separate cases. x is not non-negative and negative at the same time.

.
.
Either OR ;
really these are the same result (and I explained but did not show the steps);
that .
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