Page 151 - IM_Algebra2_FL Print Sample.pdf

1. Complete the table for , the amount of cake left after people take some.
2. Write a recursive de nition for this function.
3. Write a closed form de nition for this function.
4. What is a reasonable domain for this function?
Student Response
1. Sample response: Each person after the rst doesn’t take an entire third of a cake, so there is more left for a fourth person. Many more people can take cake.
2. See table. Values equivalent to these are also acceptable.
3. for
4.
5. Sample response:
number of people,
fraction of remaining cake,
0
1
2
3
4
number of people,
fraction of remaining cake,
0
1
1
2
3
4
Activity Synthesis
The domain of without regard to the context is the integers where , however, realistically, there will eventually be too little cake to reasonably take of it. can be quickly evaluated using
technology, for example, the table in this graph can be extended to show successive inputs. You may wish to use a spreadsheet or this table and graph in order to demonstrate evaluating
with technology: https://www.desmos.com/calculator/ufosu8kgev
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Teacher Guide Algebra