Question

Need asap plz

In a chess competition players can participate in up to 6 games .Each player's total score for the competition will be calculated according to the function T = 40 + 10 w, where w represents the number of wins what is the domain and the range for the function for the situation.

Answer 1

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}.

Step-by-step explanation:

Domain in the set of inputs and range is the set of outputs.

The function is defined as,

`T = 40 + 10 w`

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`

For w = 1

`T = 40 + 10 (1)=50`

For w = 2

`T = 40 + 10 (2)=60`

For w = 3

`T = 40 + 10 (3)=70`

For w = 4

`T = 40 + 10 (4)=80`

For w = 5

`T = 40 + 10 (5)=90`

For w = 6

`T = 40 + 10 (6)=100`

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}.