1.   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) maximum B. (0, 0) minimum and (2, 4) point of inflection
    C. (0, 0) maximum and (2, 4) minimum D. None of these is correct.
    Hint

  2.   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. none is correct D. point of inflection
    Hint

  3.   Locate the extrema for the graph y = f(x).
   
    A. There is a relative minimum at (4,4) and a relative maximum at (0,0)
    B. There is an inflection point at (2,2)
    C. There is an absolute maximum at (4,4) and an absolute minimum at (0,0)
    D. There is a relative maximum at (4,4) and a relative minimum at (0,0)
    Hint

  4.   Use a graphing calculator to graph f(x) = x5 + x4 - x3 + 4 and to determine and classify the extrema.
    A. relative maximum (-2,-4)relative minimum (0,4)
    B. relative maximum (-1.27, 5.35)relative minimum (0.487, 3.968)
    C. relative maximum (0.487, 3.968)relative minimum (1.24,5.34)
    D. relative minimum (-2,-4) relative maximum (0,4)
    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 absolute minimum of this function.
    C. (3,4) is the relative maximum of this function.
    D. (3,4) is the absolute maximum of this function.
    Hint



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