The x intercept of the given graph of the company's profit is where the curve of the graph crosses the x-axis.
<h3>How to determine the x-intercept</h3>From the figure, the graph crosses the x-axis at x values of 0 and 6
This represents the profit is 0 when the price is $0 and $6, respectively
<h3>The increasing and the decreasing interval</h3>From the graph, the graph increases from x = 0 to x = x = 3, and it decreases from x = 3 to x = 6
These intervals represent when the profit increases, and when it decreases
<h3>The maximum value</h3>This represents the maximum profit that can be made.
From the graph, the maximum profit is $120
<h3>The average rate of change</h3>This is calculated as:
So, we have:
Substitute known values
Simplify
Hence, the average rate of change from x = 1 to x = 3 is a profit of $30 per unit sale
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