The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, 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? (4 points) Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points) Part C: Describe the constraints of the domain. (3 points)

see below

Step-by-step explanation:

Part A:

The x intercept represents where the profit is zero

The maximum value is where the profit is maximum

The increasing value is 0 < x < 3 and the profit is increasing

The decreasing value is 3 < x < 6  and the profit is decreasing

Part B:

rate of change

f(5) - f(3)

5-3

60 - 120

5-3

-60/2

-30

There is a decrease in profit of 30 dollars per dollar in the price of the pen

Part C  The domain is 0≤x≤6

The price of the pen is limited between 0 and 6 dollars because we do not want negative profit or to pay someone to take the pen

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

$75.00

step-by-step explanation:

i = prt

i = 1,5000 * 0.025 * 2

i = 75