Question: Determine from the graph whether the function has any absolute extreme values on [a, b]. Then explain how your answer is consistent with .Theorem 1

Determine from the graph whether the function has any absolute extreme values on [a, b]. Then explain how your answer is consistent with .Theorem 1THEOREM 1-The Extreme Value Theorem If f is continuous on a closedinterval [a, b], then f attains both an absolute maximum value M

THEOREM 1-The Extreme Value Theorem If f is continuous on a closed interval [a, b], then f attains both an absolute maximum value M and an abso- lute minimum value m in [a, b]. That is, there are numbers x and x in [a, b] with f(x) = m. f(x) = m, f(x) = M, and m f(x) M for every other x in [a, b].

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