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

  3.   Locate the extrema for the graph y = f(x).
   
    A. There is a relative maximum at (4,4) and a relative minimum 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 minimum at (4,4) and a relative maximum at (0,0)
    Hint

  4.   The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection.
    A. There is a point of inflection at (4,2)
    B. There is a minimum at (4,2)
    C. There is a maximum at (4,2)
    D. none of these
    Hint

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



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