What is the domain and range of y=-|x|-6y=|x|6?

1 Answer
Dec 2, 2017

The domain is x\in RR. The range is y<=-6.

Explanation:

The domain of y=|x| is x\inRR.
The range of y=|x| is y>=0.

The domain of y=-|x|-6 is the same because none of the transformations impact the domain in this case.

The range of y=-|x|-6 is y<=-6 because we take the parent function and reflect it over the x-axis and then shift it down 6 units. Reflecting changes the range to y<=0, shifting down makes the new range y<=-6.