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

  2.   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) maximum and (2, 4) minimum D. (0, 0) minimum and (2, 4) 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 a relative maximum at (4,4) and a relative minimum at (0,0)
    C. There is an inflection point at (2,2)
    D. There is an absolute maximum at (4,4) and an absolute minimum 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 minimum at (4,2)
    B. There is a maximum at (4,2)
    C. There is a point of inflection at (4,2)
    D. none of these
    Hint

  5.   The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection.
    A. minimum
    B. extremum
    C. maximum
    D. point of inflection
    Hint



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