Question

3. Draw a mapping diagram for S(n) that maps all the possible inputs and outputs for a player'sfirst turn. Note that the player should begin on square 1. (6 points: 3 points for the inputs andoutputs, and 3 points for the mapping)4. In the mapping diagram you created, what numbers are in the domain of S(n)? Explain whatthis means. (2 points: 1 point for the domain, 1 point for the explanation)5. What numbers are in the range of S(n)? Explain what this means. (2 points: 1 point for therange, 1 point for the explanation)

Answer 1

3. S(n) means Square(number). It relates the number you rolled and the square at you end up.

The possible n values are: 1, 2, 3, 4, 5, 6

If you begin on square 1, the output values are:

S(1) = 2

S(2) = 2 (when you land on 3 you move back 1 space)

S(3) = 8 (when you land on 4 you move forward 4 spaces)

S(4) = 5

S(5) = 6

S(6) = 8 (when you land on 7 you move forward 1 space)

The mapping diagram is:

4. The domain of a function is the set of all possible inputs for the function.

The domain of S(n) is 1, 2, 3, 4, 5, 6

5. The range of a function is the set of all possible outputs for the function.

The range of S(n) after the first roll is 2, 5, 6, 8