For 0 <= x <= 1, let f(x) = max{ x^2 - x + 1, 1/2*x^2 + 1/2*x}.Find the minimum value of f(x) for 0 <= x <= 1. Note: For real numbers a, b, c,...,
max {a, b, c, . . . } denotes the maximum (or largest) number among a, b, c, . . .