Question

4. What happens to the cost per DVD? Why do you think this happens? BONUS: Write a function D(x), that can be used to find the cost per DVD for any value of x. Refer to the diagram of f(x) shown below for questions 5-6 2 o o § 5. What is the domain and range of f(x)? Write your answer in interval notation 6. Sketch the graph of each of the following. Describe the transformation in each graph a. g(x) = f(x) - 1 b. h(x) = -f(x) 10

Answer 1

The cost per DVD goes down when the amount of DVD produced is bigger than 1000, this is because the cost of producing produnct in a bigger scale are always more profitable.

The bonus question ask us to find a function for the price of DVD at any value of x. The provided function

$C(x)=\begin{cases}2500+1.5x\text{ if}x\le1000 \\ 2500+1.25x\text{ if}x>1000\end{cases}$

Already fulfill that purpose, then we can write

$D(x)=\begin{cases}2500+1.5x\text{ if}x\le1000 \\ 2500+1.25x\text{ if}x>1000\end{cases}$