Respuesta :
Answer: The domain of the function for the given situation is defined by the set {0, 1, 2, 3, 4, 5, 6} and the range is defined by the set {40, 50, 60, 70, 80, 90, 100}.
Explanation:
Domain in the set of inputs and range is the set of outputs.
The function is defined as,
[tex]T = 40 + 10 w[/tex]
Where w represents the number of wins.
Since it is given that in a chess competition players can participate in up to 6 games, therefore he can win 0 to 6 games.
So, the values of w can be 0, 1, 2, 3, 4, 5 and 6.
Find the value T for the above values of w.
For w = 0
[tex]T = 40 + 10 (0)=40[/tex]
For w = 1
[tex]T = 40 + 10 (1)=50[/tex]
For w = 2
[tex]T = 40 + 10 (2)=60[/tex]
For w = 3
[tex]T = 40 + 10 (3)=70[/tex]
For w = 4
[tex]T = 40 + 10 (4)=80[/tex]
For w = 5
[tex]T = 40 + 10 (5)=90[/tex]
For w = 6
[tex]T = 40 + 10 (6)=100[/tex]
The the function can take value 40, 50, 60, 7, 80, 90 and 100.
Therefore, the domain of the function for the given situation is defined by the set {0, 1, 2, 3, 4, 5, 6} and the range is defined by the set {40, 50, 60, 70, 80, 90, 100}.
