What are the characteristics of a hyperbola defined by the equation (x^2/a^2) - (y^2/b^2) = 1? Discuss the shape, asymptotes, foci, vertices, and eccentricity.
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What is the output of the square root function when the input is 16?
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What is the maximum value that the function f(x) = x^2 - 4x + 5 achieves on the interval [0, 5]?