Part 1: What does it mean for a quadratic to “model” a real-world situation? Can you imagine any real-world business situations where a quadratic might be a more helpful model than a linear function?
Part 1: What does it mean for a quadratic to “model” a real-world situation? Can you imagine any real-world business situations where a quadratic might be a more helpful model than a linear function?
Use Part 2 and Part 3 as guides/ideas for follow-up responses to your peers.
Part 2: What features of a quadratic did you focus on when thinking about business situations? The curvature? The slope? What does slope mean in this context, even if you do not know how to calculate it (look forward to calculus!)? How is a quadratic different from a line? How is a polynomial different from a line?
Part 3: But what happens if the solutions of your quadratic that you are trying to use are complex? That is, how do you feel about imaginary numbers? Do you think i is as much a number as π? In what way does i exist? Could it be a solution to a concrete business problem? Could a quadratic with complex solutions still model a concrete business situation?
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