I’m working on a Calculus question and need guidance to help me study.
The function ?(?)
f(x) is a quadratic; what kind of function is the antiderivative of ?(?)f(x)?
Does this surprise you? Why or why not?
- When you line up the dots, what is the value of ?c?
- Think about what happens to the graphs as you move ?c .
What do you think the significance is of this value of ?c?
What happens to the graph of ?(?)F(x) as you change ?c?
What effect does this value of ?c have on the role of ?(?)F(x) as the antiderivative of ?(?)f(x)?
(If the “dot” on ?(?)F(x) had been in a different place, what would that do to the value of ?c in this exercise? What would it have done to the graph of the antiderivative? Would it have changed the function ?(?)f(x) , and if so, how?)
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