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Terri’s project for the Math Fair was a magnificent black box that she called a function machine. If you put into her machine, the output would be . If you put in , the output would be ; and if you put in , it would be .  

  1. What would her machine do to the input ? What about ? What about ? Making an input → output table may help.  

    Look for a pattern.

    Try making a table and graphing the points.

    If the input is , what is the output?

  2. Write an equation for Terri’s machine.

Function Machine. Input: 3, Rule:Terri's. Output: 8.