MATH 1200 Study Guide - Midterm Guide: Maxima And Minima, Mean Value Theorem, Asymptote

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For each of the following, please ll in your nal answer in the box provided at the right side of the page. True or false: if f is not di erentiable at x = a, then f is not continuous at x = a. , if y = (1 + bx)3, where b is any real constant. For questions a7 - a10, consider the function f (x) = x3 (2x 1)(x + 1)2 : Find any x- and y-intercepts of this function. Is an oblique asymptote possible in this function? (yes or no) For questions a11 - a13, please consider a function g(x) for which g (x) = ln(x)(x 4) (x 3)2. Assume that g(x) is not de ned at x = 3. For questions a14 and a15, please consider a function h(x) for which h (x) = x 1 (x 4)3 . Assume that h(x) is not de ned at x = 4.