In this game, you will find output values of functions given specific input values.

Here are the rules of the game.

1. Player 1 writes down a function involving multiplication and addition of whole number values. For example, f(x) = 2x + 3. Subtraction and division are not allowed.
2. Player 2 then tries to guess the function by asking player 1 what the output value of the function would be given a particular input value. For the above example, if player 2 gave the input value of 2, player 1 would respond with an output value of 7.
3. Player 2 should record this input and output on a sheet of scratch paper and then make a guess as to player 1's function. If player 2 correctly guesses player 1's function, he or she receives a score of one point. The two players swap roles to play the next round. If player 2 guesses incorrectly, he or she asks the output for a second input value, a third input value, and so on, until he or she can correctly guess player 1's function. Player 2 receives one point for each output value he or she requests. The maximum number of outputs a player can request is 20.

Play several rounds. The player with the lowest score at the end of the game wins.

(Hint: It is helpful to begin by requesting the output value for the input value of 0.)