What is the domain and range of $y = | x | - 4$ $y=abs(x)-4$ ?

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What is the domain and range of $y = | x | - 4$ $y=abs(x)-4$ ?

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Answer 1 · 2016-09-22T10:51:03

D: all real values, R: $y \geq - 4$ $y>=-4$

Explanation:

The domain, or possible x values, is All Real Values.

The resultant range:

when $x = 0, y = - 4$ $x=0, y=-4$

and if we evaluate values both greater and smaller than 0, y will only get bigger (remember that the negative values of x will be turned to positive by the absolute value sign). And so the range is $y \geq - 4$ $y>=-4$

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What is the domain and range of $y = | x | - 4$ $y=abs(x)-4$ ?

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What is the domain and range of $y = | x | - 4$ $y=abs(x)-4$ ?