An economics model predicts the profit of a company over time with the equation. To find the times when the company breaks even, solve the equationby graphing. The times are , and.
Answer & Analysis
Analysis
Question Analysis
This question applies the concept of solving polynomial equations by graphing to an economics context. The student must identify the x-intercepts of the cubic function, which represent the times when the company breaks even.
Key Concept Explanation
The solutions to a polynomial equation are the x-intercepts of the corresponding polynomial function. In this case, the x-intercepts represent the times when the profit is zero.
Step-by-step Solution
1. Graph the function
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