Math 111 Focus Set 3 Answer the following questions. Be sure to follow the guidelines for writing Focus Set responses. See the course page for details if you need a refresher. 1) Taking into account...

Extracted text: Math 111 Focus Set 3 Answer the following questions. Be sure to follow the guidelines for writing Focus Set responses. See the course page for details if you need a refresher. 1) Taking into account reaction time, the distance d in feet that a car requires to come to a complete stop while traveling r miles per hour is given by the function. d(r) = 7.02r – 86.48 %3D a) What would be the practical domain and range for function d and why? b) Solve for the inverse of d(r). What might you call the inverse? Why would it not make sense in this case to call it d(r)? c) Present d(r) and its inverse; graphically and with a table. Explain how each representation shows the inverse relationship with examples. d) What would be the practical domain and range for the inverse of d? e) Use the graph and equation of the inverse to describe in context what r(300) would mean (I'm calling the inverse function r here). f) How could you algebraically verify that your two functions are in fact inverses? 2) Consider the function f and g graphed here. a. Express using functions notation how to transform one of the functions into the other. g(x) f(x) b. Verify your answer by showing how one ordered pair goes through the -5 transformation. Bonus: Show and explain how to go the other direction for 2pts extra credit. -5+