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Session 3, Part C:
Function Machines
In This Part: About Function Machines | Running a Function Machine | Function Machines and Undoing
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Take a look at this algorithm (let's call it Algorithm C):
• | Pick a number (that's the input) |
• | Multiply it by 2 |
• | Add 3 to the answer |
• | Multiply that answer by 10 |
• | Add 6 |
• | Finally, divide by 2 |
Draw a function machine network or print out a copy of the function machine network below to help you answer Problems C1 - C5.
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Problem C1 |  |
If the input to Algorithm C is 3, what is the output?
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Problem C2 | |
If the output to Algorithm C is 88, can you determine what the input was? How did you do it?
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Problem C3 | |
Use the Interactive Activity to build Algorithm D, which undoes Algorithm C. How would this help with Problem C2? |
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Problem C4 | |
Imagine that Algorithm C and Algorithm D are connected to form one large network. What would happen to a number used as an input in this network? Think about it for a few minutes, and try a few numbers if you need to.
Connecting the two networks gets you back to your original number. Going through all these steps turns out to be a complicated way of doing nothing to a number!
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