(a) Show that the absolute value function Fsxd
Chapter 2, Problem 72(choose chapter or problem)
(a) Show that the absolute value function Fsxd | x | is continuous everywhere. (b) Prove that if f is a continuous function on an interval, then so is | f |. (c) Is the converse of the statement in part (b) also true? In other words, if | f | is continuous, does it follow that f is continuous? If so, prove it. If not, find a counterexample.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer