In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to the function f(x)=6x-1, where x is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function.

In a board game a certain number of points is awarded to a player upon rolling a six sided die labeled 1 to 6 according to the function fx6x1 where x is the val class=

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The numeric values of the function are given as follows:

  • f(1) = 5, meaning when a 1 is rolled on the die, the player is awarded 5 points. This interpretation makes sense in the context of the problem.
  • f(5.5) = 32, meaning when a 5.5 is rolled on the die, the player is awarded 32 points. This interpretation does not make sense in the context of the problem.
  • f(10) = 59, meaning when a 10 is rolled on the die, the player is awarded 59 points. This interpretation does not make sense in the context of the problem.

Hence an appropriate domain for the situation is of:

{x ∈ N | 1 ≤ x ≤ 6}.

What are the numeric values of the function?

The function in this problem is defined as follows:

f(x) = 6x - 1.

The variables are given as follows:

  • x is the number rolled.
  • y is the score.

The numbers that can be rolled are:

1, 2, 3, 4, 5 and 6.

Hence the domain is of:

{x ∈ N | 1 ≤ x ≤ 6}.

The numeric values are obtained replacing the variable x by the input, as follows:

  • f(1) = 6(1) - 1 = 5.
  • f(5.5) = 6(5.5) - 1 = 32 -> does not make sense, as a 5.5 cannot be rolled.
  • f(10) = 6(10) - 1 = 59 -> does not make sense, as a 10 cannot be rolled.

Learn more about the numeric values of a function at brainly.com/question/28367050

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