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)

The x-intercepts shows a zero profit.
The maximum value of the graph tells or depict the maximum profit.
The function is one that goes up or increases upward until it reach the vertex and then it falls or decreases after it.
This implies that the profit goes up as it reaches the peak at the vertex and it goes down after the vertex up until it gets to zero.
The profits are negative as seen on the left of the first zero and on the right of the second zero.

An approximate average rate of change of the graph from x = 3 to x = 5, shows the reduction in profit from 3 to 5.

Based on the above, the domain is one that is held back or constrained by x = 0 .

We are compelled at x = 6 due to the fact that we have to maneuver a negative profit.

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