Rewrite the absolute value function y=|x|-3 as two linear functions, one that has the domain x<0, and one that has the domain x≥0.

Two linear functions, one that has the domain x < 0 is y = - x - 3

And, one that has the domain x ≥ 0 is y = x + 3.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

The absolute value function is,

⇒ y = |x| - 3

So, The linear function which has the domain x < 0 is,

⇒ y = - x - 3

And,  The linear function which has the domain x ≥ 0 is,

⇒ y = x - 3

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* Elimination With Multiplying *
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