Identifying Exponential Models from Tables
Explore how repeated multiplication generates exponential growth or decay in tables of values. Recognize growth factors by comparing outputs.
Tâche 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Tâche 2
A table of values for a function contains two consecutive values of and the corresponding values of . Is this data enough to decide whether the table represents an exponential growth or decay function? If not, what is the minimum number of data pairs that you need?
Tâche 3
A table of values representing the ordered pairs , where , shows that as increases by 1, is multiplied by 3.14. Can you classify this function as an exponential one? If so, write a possible equation for this function, using a form that shows the growth or decay factor.