a cartoonist uses the function below to calculate the net profit he earns from sellings his drawings.In the function, d represents the number of drawings he sells. N(d)= 45(d)-$370...what is domain of N(d)?
since there are no negative drawings, and each is an entire drawing,
the domain is all integers not negative -- the whole numbers.
To determine the domain of the function N(d), we need to identify the valid values that the variable d can take. In this case, d represents the number of drawings he sells.
The domain refers to the set of all possible input values for a given function. In this case, the number of drawings sold cannot be negative or infinity, so the domain will be restricted accordingly.
To find the domain, we consider any restrictions or limitations on the variable d. Since selling a negative number of drawings is not possible, the domain starts from 0. Additionally, there may be a practical limitation on the maximum number of drawings the cartoonist can sell, but that is not specified in the given information.
Therefore, the domain of N(d) can be expressed as follows:
Domain: d ≥ 0 (d is a non-negative integer)
This means that any non-negative whole number can be input into the function to calculate the net profit.
To find the domain of the function N(d) = 45d - $370, we need to determine the possible values of d for which the function is defined.
In this case, the number of drawings sold, represented by d, can take any value as long as it is a valid input. However, there may be practical limitations or constraints that we need to consider.
Typically, the domain of a function is all the possible values that the independent variable (in this case, d) can take. In this case, there are no explicit constraints mentioned in the problem, so we can assume that d can take any real number.
Therefore, the domain of N(d) is all real numbers or (-∞, +∞).