1.   Locate the extrema for the graph of y = f(x).
   
    A. The extrema are (-2, 1),
(1, -1) and (4, 3).
B. The extrema are (-2, 1) and (4, 3).
    C. The extrema are (-2, 1) and (1, -1). D. The extrema are (-1, 1) and (4, 3).
    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. point of inflection B. maximum
    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 absolute maximum at (4,4) and an absolute minimum at (0,0)
    C. There is a relative minimum at (4,4) and a relative maximum at (0,0)
    D. There is an inflection point at (2,2)
    Hint

  4.   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 (-2,-4)relative minimum (0,4)
    C. relative minimum (-2,-4) relative maximum (0,4)
    D. relative maximum (0.487, 3.968)relative minimum (1.24,5.34)
    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 absolute minimum of this function.
    B. (3,4) is the point of inflection.
    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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