QuestionFebruary 2, 2026

in a board game a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6)accordir f(x)=4x-4 where x is the value rolled on the die. Find and interpret the given function values and determine an for the function. Answer Attemptiout of 2 f(4)=12 12 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. v f(5.5)=18 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. f(10)=36 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is

in a board game a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6)accordir f(x)=4x-4 where x is the value rolled on the die. Find and interpret the given function values and determine an for the function. Answer Attemptiout of 2 f(4)=12 12 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. v f(5.5)=18 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. f(10)=36 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is
in a board game a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6)accordir f(x)=4x-4 where x is the value rolled on the die. Find and interpret the given function values and determine an for the function. Answer Attemptiout of 2 f(4)=12 12 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. v f(5.5)=18 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. f(10)=36 meaning when a square is rolled on the die, the player is awarded square points. This interpretation square in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is

Solution
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Answer

The domain of the function f(x)=4x-4, in the context of this problem, is the set of integers \{1, 2, 3, 4, 5, 6\}. Explanation 1. Evaluate the function First, substitute the rolled values into the function f(x) = 4x - 4 to calculate the points awarded. Determine the specific points awarded for each die value by substituting into the function. **Example Calculation**: - f(4) = 4 \times 4 - 4 = 16 - 4 = 12 - f(5.5) = 4 \times 5.5 - 4 = 22 - 4 = 18 - f(10) = 4 \times 10 - 4 = 40 - 4 = 36 2. Interpret the function values The function values f(x) define the points awarded for each roll result x. In the context of rolling a six-sided die, only integer values from 1 to 6 (inclusive) make sense. The interpretation of the function for non-integer values such as x=5.5 or x=10 is not feasible within the valid domain of the roll outcomes. - The value f(4)=12 means when a roll of 4 occurs, 12 points are awarded. - The value f(5.5)=18 does not have a proper interpretation as 5.5 cannot be rolled. - The value f(10)=36 does not have a proper interpretation as 10 cannot be rolled. 3. Determine the appropriate domain for the function Since the die is six-sided, the realistic domain for the function is restricted to the integers 1 through 6, which covers all possible results when a die is rolled. Therefore, the domain must be limited to meaningful outcomes of die rolls.

Explanation

1. Evaluate the function<br /> First, substitute the rolled values into the function $f(x) = 4x - 4$ to calculate the points awarded. Determine the specific points awarded for each die value by substituting into the function.<br /><br />**Example Calculation**:<br />- $f(4) = 4 \times 4 - 4 = 16 - 4 = 12$<br />- $f(5.5) = 4 \times 5.5 - 4 = 22 - 4 = 18$<br />- $f(10) = 4 \times 10 - 4 = 40 - 4 = 36$<br /><br />2. Interpret the function values<br /> The function values $f(x)$ define the points awarded for each roll result $x$. In the context of rolling a six-sided die, only integer values from 1 to 6 (inclusive) make sense. The interpretation of the function for non-integer values such as $x=5.5$ or $x=10$ is not feasible within the valid domain of the roll outcomes.<br /><br />- The value $f(4)=12$ means when a roll of 4 occurs, 12 points are awarded.<br />- The value $f(5.5)=18$ does not have a proper interpretation as 5.5 cannot be rolled.<br />- The value $f(10)=36$ does not have a proper interpretation as 10 cannot be rolled.<br /><br />3. Determine the appropriate domain for the function<br /> Since the die is six-sided, the realistic domain for the function is restricted to the integers 1 through 6, which covers all possible results when a die is rolled. Therefore, the domain must be limited to meaningful outcomes of die rolls.<br /><br />
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