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(Solved): Consider the graph of a function \( f \) on the interval \( [0,4] \). Identify all correct statemen ...
![Consider the graph of a function \( f \) on the interval \( [0,4] \).
Identify all correct statements about the extreme value](https://media.cheggcdn.com/study/df0/df07dbf9-398f-4984-bfb7-ca354a5f8c8b/image)
Consider the graph of a function \( f \) on the interval \( [0,4] \). Identify all correct statements about the extreme values of \( f \). \( f \) has five critical points. \( f \) has three local minima. \( f \) has one local minimum. \( f \) has two local maxima. \( f \) has an absolute maximum at a critical point and an absolute minimum at an endpoint.
Expert Answer
Local Maxima: A point x = b is a point of local maximum for f(x) if in the neighborhood of b i.e in (b?????, b+????) where ???? can be made arbitrarily smal