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

Answer 1

D: all real values, R: #y>=-4#

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

The resultant range:

when #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>=-4#

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Answer 2

Isaiah Anthony

Domain: All real numbers Range: All real numbers greater than or equal to -4

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.