The profit, in dollars, when the company sells P(x) keychains can be found using the function P(x)=3x−10. Determine an appropriate domain for the function.
Responses
{−10, −7, −4, −1, 2, 5, 8,...}
{−10, −7, −4, −1, 2, 5, 8,...}
{0,1,2,3,4,5,.......}
1≤x≤10
1≤x≤10
0≤x≤10
The appropriate domain for the function P(x) = 3x - 10 is {0,1,2,3,4,5,....}.
The appropriate domain for the function P(x) = 3x - 10 is 0 ≤ x ≤ 10.
To determine an appropriate domain for the function P(x) = 3x - 10, we need to consider the restrictions on the independent variable x. Depending on the context of the problem, the domain might have different limitations.
In this case, since the function is representing the profit when selling keychains, the domain should reflect realistic values for the number of keychains sold.
One possible constraint is that the number of keychains sold cannot be negative since it represents a physical quantity. Therefore, x must be greater than or equal to zero.
Another constraint to consider is the maximum range of the number of keychains sold. If there is a limit on the number of keychains the company can produce or sell, it would impose an upper limit on the domain. However, this information is not provided in the question, so we cannot conclude any specific upper limit.
Based on the given options, the most appropriate domain for this situation would be 0 ≤ x ≤ 10. This means that the input value for x should be any non-negative integer less than or equal to 10.