What are the key characteristics of the quadratic function f(x) = x^2? Discuss its vertex, axis of symmetry, and whether it opens upward or downward. How many x-intercepts does it have?
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What is the limit of (x^2 - 3x + 2)/(x - 1) as x approaches 1?
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What is the maximum value of the function f(x) = 3x^2 - 4x + 2 on the interval [0, 5]?