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

1 Answer
Oct 10, 2015

Answer:

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.