Question

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:

Answer 1

The answers to the various part as well as its reasons are given below

Part A:

• 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.

Part B:

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

Part C:

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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