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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 3 into her machine, the output would be 8. If you put in 10, the output would be 29; and if you put in 20, it would be 59. Homework Help ✎ function machine

  1. What would her machine do to the input 5? What about −1? What about x? Making an input → output table may help.  

    Look for a pattern.

    Try making a table and graphing the points.

    If the input is x, what is the output?

  2. Write an equation for Terri’s machine.