An interactive learning ecology for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.
I loved this lesson. Isn't it surprising what relationships you find between functions that seem different? I liked all of the problems that you listed and the explanations are really good, but I was wondering about something. In problem 4 you told us that F, G and H behave the same because they have the same derivative. But why are functions F and H the same function?
Here is another question, in #5 you say that the functions in your family are related by a vertical shift. Can you tell me why that is true? Or even could you tell me what the vertical shift would be between two functions in your family?
Dear Ashlynn,
ReplyDeleteI loved this lesson. Isn't it surprising what relationships you find between functions that seem different? I liked all of the problems that you listed and the explanations are really good, but I was wondering about something. In problem 4 you told us that F, G and H behave the same because they have the same derivative. But why are functions F and H the same function?
Here is another question, in #5 you say that the functions in your family are related by a vertical shift. Can you tell me why that is true? Or even could you tell me what the vertical shift would be between two functions in your family?
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