Equivalent expressions of functions
Describing a trip

Students went on a trip from their school to a lake and gave different accounts of the trip.

For each account write a correspondence rule that describes the dependence of the distance of the students to the lake on time. Try to write a correspondence rule that emphasizes the information in the account using one of the standard forms
f(x)=ax+b , f(x)=a(x-c) , or f(x)=a(x-c)+m .


Alex: The trip ended at the lake, which was 15 kilometers from the school. We walked at a speed of 5 kilometers per hour.
Ricky: The trip lasted 3 hours. Our walking-speed was 5 kilometers per hour.
Shelly: We walked at a speed of 5 kilometers per hour. After 2 hours we were 5 kilometers from the lake.




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