Question

What is the domain and range for `y=4absx-1`?

Answer 1

Domain: `(-oo,oo)`
Range: `[-1,oo)`

Explanation:

The domain is all real numbers because you can multiply 4 by any number from -infinity to infinity, although the only value used will be the absolute value. For example, if x= - 7 then y=27 because `4*|-7|-1=4*7-1`.

Because x is absolute value, the lowest number you can have is zero. `4*0-1=-1` thus making -1 the lowest value you can have for y.