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

  1. What would her machine do to an input of ? 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.