Will Medal!

The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, being sold by the company:

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Part B: If at one time the profit of the company was at least $100, what domain could possibly produce this profit?

Part C: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

Question

Will Medal!

The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, being sold by the company:

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Part B: If at one time the profit of the company was at least $100, what domain could possibly produce this profit?

Part C: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

anonymous · Answer

This is the graph

anonymous · Answer

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? 

The first x intercepts represent the company not selling any pencils because of the price

The maximum value of the graph represents the company selling the most pencils at the price of around 5 dollars.

The x intercepts are 0 pencils sold when pencils are marked as 0 dollars, and 0 pencils sold when pencils are 10 dollars

anonymous · Answer

@zepdrix @mathmale @mathstudent55 @triciaal

anonymous · Answer

@sleepyjess

anonymous · Answer

That's half of Part A done, what does this part of Part A mean?

 What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

anonymous · Answer

Part B: If at one time the profit of the company was at least $100, what domain could possibly produce this profit?

I have no idea, I need help on this.

Part C: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

I can probably calculate this, but I'd like someone to walk me through it anyways

anonymous · Answer

@Hero @ParthKohli @pooja195 @dan815 @Michele_Laino @Data_LG2 @robtobey

563blackghost · Answer

http://openstudy.com/study#/updates/534715a9e4b01730eeaf6200 this question is somewhat related to what you are doing....maybe it can help ^^