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,
![T = 40 + 10 w](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20w)
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
![T = 40 + 10 (0)=40](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20%280%29%3D40)
For w = 1
![T = 40 + 10 (1)=50](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20%281%29%3D50)
For w = 2
![T = 40 + 10 (2)=60](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20%282%29%3D60)
For w = 3
![T = 40 + 10 (3)=70](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20%283%29%3D70)
For w = 4
![T = 40 + 10 (4)=80](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20%284%29%3D80)
For w = 5
![T = 40 + 10 (5)=90](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20%285%29%3D90)
For w = 6
![T = 40 + 10 (6)=100](https://tex.z-dn.net/?f=T%20%3D%2040%20%2B%2010%20%286%29%3D100)
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}.