Equivalent expressions of functions Features from value tables Below are 6 value tables of linear functions. Examine the value tables and try to discover as many features of the functions as you can: Is the function increasing or decreasing? Does the graph pass below or above the origin? What are the points of intersection of the graph with the axes? What is the function's slope? Based on the information you have collected, sketch approximate graphs of the functions. Construct correspondence rules for the functions and construct exact graphs using the Representation of Functions tool. Using the correspondence rules and/or the graphs, describe those features of the functions that you could not find using the tables alone, if there are such features.

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