Function Properties Not Inherited by Inverses There are
Chapter 1, Problem 1.372(choose chapter or problem)
Function Properties Not Inherited by Inverses There are some properties of functions that are not necessarily shared by inverse functions, even if the inverses exist. Suppose that f has an inverse function f-1. For each of the following properties, give an example to show that f can have the property while f-1 does not.
(a) f has a graph with a horizontal asymptote.
(b) f has domain all real numbers.
(c) f has a graph that is bounded above.
(d) f has a removable discontinuity at x=5.
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