Question

A small publishing company is planning to publish a new book.

Answer 1

The domain of a function is the set of values that we are allowed to plug into our function. The range of a function is the set of values that the function assumes.

The domain in this case is:

$D:\lbrack0,200\rbrack$

And the independent variable is N ( Number of copies produced)

The range can be found evaluating the function C for 0 and 200.

So:

$\begin{gathered} C(0)=25(0)+800=800 \\ C(200)=25(200)+800=5000+800=5800 \end{gathered}$

Therefore, the range is:

$R:\lbrack800,5800\rbrack$

And the dependent variable is the cost of publishing books