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: Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

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)

a) At any x-intercept, f(x) = 0. In the context of the problem, this means that the company makes 0 profit when they price the pens at 0 and at 6.

The interval where the graph is increasing is 0<x<3, and decreasing at 3<x<6 Which means from $0 to $3, the total profit increases, and as the pens are priced more and more above $3, the total profit decreases until it gets to 0 at $6 (because nobody wants to buy them).

b) I dont know your graph at x = 5 but x = 3 is the maximum so the rate has to be negative. The negative rate means that the company is losing profit as they charge more and more above $3. T

c) The domain is limited to 0≤x≤6 because if they charge any more or any less they would not make negative money.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column