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Home > INT3 > Chapter 4 > Lesson 4.4.3 > Problem 4-128



Mark has set up a series of three function machines that he claims will surprise you.

  1. Try a few numbers. Are you surprised by your results?

    Your output should be the same number as your input.

  2. Carrie claims that she was not surprised by her results. She also says that she can show why the sequence of machines does what it does by simply dropping in a variable and writing out step-by-step what happens inside each machine. Try it. (Use something like or .) Be sure to show all of the steps.


    function 1:

    function 2: 

    Simplify the output of function two, and then substitute it for in function three.

3 function machines, set so the output of each, becomes the input of the next, with rules in this order: top, x, minus 5, center, quantity, 6, x, + 8, divided by 2, last, quantity, x, + 11, divided by 3.