Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimum. Select all that apply: f(x) = x^{3/2} over [-1, 1] g(x) = frac{1}{x^3} over (1, 4) h(x) = sqrt{3 - x} over (1, 3) k(x) = frac{2x}{sqrt{3-x}} over [1, 3] None of the above.
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1) f(x) = x^(3/2) over [1, 1] This function is not defined at x = 0, so it is not continuous on the interval [1, 1]. Show more…
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