Question
Determine if the requirements for the mean value theorem are met by the function f(x)=-7x- on the interval [-7, -1]. If so, find the
Determine if the requirements for the mean value theorem are met by the function f(x)=-7x- on the interval [-7, -1]. If so, find the 7 X values of c in (-7, -1) guaranteed by the theorem. O f(x) is continuous on [-7, -1] and f(x) is differentiable on (-7, -1). The value guaranteed by the mean value theorem is c = 7. f(x) is continuous on [-7, -1] and f(x) is differentiable on (-7, -1). The value guaranteed by the mean value theorem is c=7. O f(x) is continuous on [-7, -1] and f(x) is differentiable on (-7, -1). The value guaranteed by the mean value theorem is c = 7. f(x) is continuous on [-7, -1] and f(x) is NOT differentiable on (-7, -1). Therefore, the mean value theorem does not apply.
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