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Consider the function f(x)\, =\, x^4\, -\, 2x^3\, +\, 1 ⋅ Show that f is one-to-one on the interval \left[\frac{3}{2},\, \infty\right) . Hint: Show that the derivative f' is positive on \left[\frac{3}{2},\, \infty\right) . ... ⋅ Explain briefly why f is not o...