Question

The graph below shows a company's profit f(x), in dollars, depending on the price of erasers 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 = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

Answer 1

Based on the given graph relating to the company's profit f(x), the x-intercepts are (0, 0) and (0, 8) and the maximum value is 270.

What does the graph show?

The x-intercepts are the points where the graph crosses the x axis. It does so at first at (0,0) and then after going up and coming down, it again intersects at (0, 8).

The maximum value the graph reaches is 270 on the y-axis.

The function is increasing at the interval, (0, 4) and decreasing from (4, 8).

What this shows is that an increase in price between 0 and 4 would lead to an increase in profit but between 4 and 8 results in profits dropping.

In part B, the average rate of change from x=1 to x =4 is:

= (270 - 120) / (4 - 1)

= 50

In part c, the constraints are:

x ≥ 0

f(x) x ≤ 8

Find out more on domain constraints at https://brainly.com/question/21757262

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