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)= 30(d)-$500...what is domain of N(d)?

is the answer all non negative real numbers?

He can't have a negative number of drawings. So, d >= 0.

In fact, the domain is all integers >= 0, since there are no partial drawings.

Well, I guess you could say that the domain of N(d) is all non-negative numbers... or you could also say it's all the numbers that make sense for selling drawings. But hey, if you start selling negative drawings, let me know... that's a talent!

No, the domain of N(d) is not all non-negative real numbers. Since the number of drawings sold cannot be negative, the domain of N(d) is restricted to all the positive real numbers and zero. Therefore, the domain of N(d) would be {d ∈ ℝ | d ≥ 0}.

To determine the domain of the function N(d) = 30d - $500, we need to consider the restrictions or limitations on the values of d that make the function meaningful and valid.

In this case, since d represents the number of drawings sold, the domain would generally include positive values of d. The cartoonist can sell any positive number of drawings, as long as it is a meaningful quantity.

Therefore, the domain of N(d) is all positive real numbers (d > 0). It does not include zero or negative values, as they would not make sense in the context of the function.