Let \(f\) be a function that is continuous on the closed interval \([3,10]\) with \(f(3)=0\) and \(f(10)=10\). Which of the following is guaranteed by the Intermediate Value Theorem?

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The Intermediate Value Theorem gurantees that there will be a point with value \(f(c)\) where \( 0\lt f(c)\lt 10\).

The last answer choice is also guranteed, but through the Mean Value Theorem and only if the function is also differentiable on the closed interval.