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−6, where x is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function.

f(2)= ___ meaning when a ___ is rolled on the die, the player is awarded ___ points. This interpretation ___ in the context of the problem.

f(5.5)= ___ meaning when a ___ is rolled on the die, the player is awarded ___ points. This interpretation ___ in the context of the problem.

f(10)= ___ meaning when a ___ is rolled on the die, the player is awarded ___ points. This interpretation ___ in the context of the problem.

Based on the observations above, it is clear that an appropriate domain for the function is
___ .

(options for "this interpretation" are "makes sense or does not make sense")
(options for last question are all real numbers, non-negative real numbers, real numbers in a

Answer 1

Answer: f(x) is the amount awarded to a player upon rolling the die

The domain of the function = 1, 2, 3, 4, 5, and 6

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 does make 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 .

What are the numeric values of the function?

The function in this problem is defined as follows:

f(x) = 6x - 6.

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.

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

f(1) = 6(1) - 6 = 0.

f(5.5) = 6(5.5) - 6 = 27 -> does not make sense, as a 5.5 cannot be rolled.

f(10) = 6(10) - 6 = 51 -> does not make sense, as a 10 cannot be rolled.

Explanation: