Original
Select the correct statement.
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Recall, a function {{MATH_8}} has to be continuous on a closed interval {{MATH_9}} and differentiable on an open interval {{MATH_10}}, so that we can apply the Mean value theorem.
If the above conditions are satisfied, the the Mean value theorem (MVT) guarantees that there exists a point {{MATH_11}} in {{MATH_12}} such that {{MATH_13}}.
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{{CMD_16}}The function {{MATH_17}} satisfies the conditions of the MVT on its domain.{{CMD_18}}
{{CMD_19}}The function {{MATH_20}} does not satisfy the conditions of the MVT on its domain, because {{MATH_21}} is not continuous on its domain.{{CMD_22}}
{{CMD_23}}The function {{MATH_24}} does not satisfy the conditions of the MVT on its domain, because {{MATH_25}} is not differentiable on {{MATH_26}}.{{CMD_27}}
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