1. (a) (5 points) In order for a function f to have an inverse function, f must have a special property. What is this property? (b) (5 points) How is the natural logarithm function defined? (c) (5 points) Write down the three laws of logarithms. (d) (5 points) Define what is meant by the number e. (e) (5 points) In our textbook and lecture video for Section 5.3, I state that the function f(x) = et has a remarkable property. What is this property? (f) (5 points) Suppose you have a function of the form g(r)/(2). What technique would you use to compute its derivative? Math 142 Problem Set 2 - Chapter 5 - Page 2 of 2 Due: 11/03/2020 11:59PM (g) (5 points) The Law of Natural Growth/Decay states that dy dt = ky If someone asked you to interpret the equation above, how would you explain that? (h) (5 points) Given a function that is not one-to-one; is it possible to perhaps make it one- to-one? If it is possible then explain how and give an example