1.   Locate the extrema for the graph of y = f(x).
   
    A. The extrema are (-2, 1) and (4, 3). B. The extrema are (-2, 1),
(1, -1) and (4, 3).
    C. The extrema are (-2, 1) and (1, -1). D. The extrema are (-1, 1) and (4, 3).
    Hint

  2.   Use the graphing calculator f(x) = x3 + x2 - x, and
locate the relative maximum point.
    A. There is no relative maximum point. B. (-1, 0.833)
    C. (0.5, -0.292) D. (0, 0)
    Hint

  3.   The function f(x) = 3x2 - x3 has critical points at x = 0 and x = 2. Determine whether each of these critical points is the location of a relative maximum, relative minimum, or a point of inflection.
    A. (0, 0) minimum and (2, 4) point of inflection B. None of these is correct.
    C. (0, 0) maximum and (2, 4) minimum D. (0, 0) minimum and (2, 4) maximum
    Hint

  4.   Determine whether the given critical point of x = -7 is the location of a relative maximum, relative minimum, or a point of inflection for the function f(x) = x3 + x2 + 1.
    A. maximum B. minimum
    C. point of inflection D. none is correct
    Hint

  5.   The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point.
    A. (3,4) is the point of inflection.
    B. (3,4) is the relative maximum of this function.
    C. (3,4) is the absolute minimum of this function.
    D. (3,4) is the absolute maximum of this function.
    Hint



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