Equivalent expressions of functions
Emphasizing information using correspondence rules


Four graphs of functions are displayed below, as well as three kinds of information about each graph: the point of intersection with the x-axis, the point of intersection with the y-axis, and a point traversed by the graph.
Also shown are three forms of correspondence rules. In each figure, change the given correspondence rules to fit the given graph in such a way that the rules emphasize the information on the point you choose to emphasize.



intersection with
x-axis
intersection with
y-axis
a point on the graph


1
step
trace
2
step
trace
3
step
trace
4
step
trace






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