Question

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-4, where x is the value rolled on the die. Based on the observations above, it is clear that an appropriate domain for the function is 1) all real # 2) non-neg. real numbers 3) real # in a≤x≤b 4) integers 5) whole # 6) pos. integers 7) integers in a≤x≤b

Answer 1

In a game scenario where points are awarded based on the roll of a six-sided die using the function f(x)=6x-4, the appropriate domain for this function is positive integers. This is because the die is labeled 1 to 6, hence only these six positive integers can be outcomes.

Step-by-step explanation:

The appropriate domain for the function f(x)=6x-4, where x is the value rolled on a six-sided die, is positive integers. This is because the die is labeled 1 to 6, meaning that the possible outcomes (in terms of x values) can only be one of these six positive integers.

Therefore, Option 6, which specifies positive integers, is the correct domain for this function. Any real number, negative number, or number outside the defined range will not be a valid roll of a die in this game scenario.

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