Question

In a board game, a certain number of points are awarded to a player upon rolling a six-sided die according to the function f(x)=2x+2. Find and interpret the given function values and determine an appropriate domain for the function.

Answer 1

The given function f(x) = 2x + 2 represents the number of points awarded to a player in a board game. The function values can be found by substituting different numbers into the function. The appropriate domain for the function is the set of all possible outcomes when rolling a six-sided die.

Step-by-step explanation:

The given function is f(x) = 2x + 2. This function represents the number of points awarded to a player in a board game when they roll a six-sided die. To find the function values, we need to substitute different values of x into the function. For example, when x = 1, the function becomes f(1) = 2(1) + 2 = 4. This means that if a player rolls a 1 on the die, they would be awarded 4 points. Similarly, we can find the values for other numbers by substituting them into the function.

The appropriate domain for this function would be the set of all possible outcomes when rolling a six-sided die, which are {1, 2, 3, 4, 5, 6}. This is because x represents the possible numbers that can be rolled on the die, and we cannot roll any number outside this set.