Question

What is the domain and range of `y= - | x + 3 | - 8`?

Answer 1

Domain is easy. Since there are no fractions, logs or roots involved, `x` may have any value

Explanation:

Range :
`|x+3|>=0->-|x+3|<=0`

Subtract `8` on both sides:
`-|x+3|-8<=-8`

So the range is `[-8to-oo]`