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? Part B: If at one time the profit of the company was at least one hundred dollars, what domain could possibly produce this profit? Part C: What is an approximate average rate of change of the graph from x = 2 to x = 5 and what does this rate represent?

Question

anonymous · Answer

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snowfire · Answer

X-intercepts represent when the sales either started making profit (going upwards after the point), or started losing profit (going downwards after). The maximum value represents the highest profit obtained before it started to drop. The function is increasing as long as the slope is positive, meaning the line goes upwards as it moves to the right, and vice versa. Increasing means that the profit is increasing, and similarly decreasing means it is decreasing.

snowfire · Answer

For part B, domain is basically the x value. What x value gives us a y value of 100?

snowfire · Answer

Sorry, I mean at least 100, so any x values that give us y values greater than 100.