What is the domain and range the the absolute value equation y= abs[2x-1]?

1 Answer
Jan 24, 2017

Domain: All real numbers (RR)
Range: All real non-negative numbers [0, +infty)

Explanation:

If x can be any real number, so can 2x, and so can 2x - 1. Therefore, any value for x is valid (defined) in this expression, so the domain is all real numbers. However, no matter the sign of an absolute value's contents, its value is always non-negative, or

|a| >= 0, for any real a.

Because of this, the range of the expression is all real non-negatives.