Question: For a function f(x) continuous on the closed interval [a, b], find the extreme values guaranteed by the Extreme Value Theorem.
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Math question: Consider the constant function f(x) = c, where c is a constant. If f(2) = 5 and f(7) = -3, what is the value of c?
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Math question: Compare the growth rates of the exponential functions f(x) = 10^x and f(x) = e^x. Determine which function grows faster and by how much, capping at x = 5.