Question

What is the range and domain of: y= 4|x|-1

Answer 1

Function: y = 4|x| - 1.


Domain: R (all real numbers).


Range: As we know, the absolute value of x is always a non-negative number:

|x| >= 0

4|x| >= 4 * 0

4|x| >= 0

4|x| - 1 >= -1

y >= -1 <----- this is the range


I hope this helps. =)