Find the domain of the given function f and find where it is increasing and decreasing, and also where it is concave upward and where it is concave downward. Identify all extreme values and points of inflection. Then sketch the graph of y = f(x). f(x) = 

What will be an ideal response?


Domain = (-?, ?)
Increasing on (0, ?) and decreasing on (-?, 0)
Minimum at (0, 0)
Concave down on  ? , concave up on 
Points of inflection at  and 


Mathematics

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Provide an appropriate response.If the derivative of an even function f(x) is zero at x = c, can anything be said about the value of f' at  Give reasons for your answer.

What will be an ideal response?

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Mathematics

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Mathematics