Equivalent expressions of functions Same correspondence rules, different stories The four figures below describe journeys taken by 2 motorcycle riders. The journeys are described by the same correspondence rules, but the domain of definition of each function is different. Write a verbal description for each story and describe the similarities and differences among the stories. What information about the stories is revealed by the correspondence rules that are presented? For each story, write the correspondence rules in a different way so as to emphasize information unique to that story. f1 f2 position time position time position time position time

The form f(x)=ax+b The form f(x)=a(x-c) The form f(x)=a(x-c)+m Emphasizing information Emphasizing intersections Families of functions Features from value tables Partial pictures Equivalent recipes Telephone rates Verbal descriptions of equivalent expressions Stories Describing a trip Speeding car Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9 Exercise 10 Exercise 11 Exercise 12 Exercise 13 Exercise 14 Exercise 15 Exercise 16 Exercise 17 Exercise 18 Exercise 19