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 (-1, 1) and (4, 3). C. The extrema are (-2, 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) maximum and (2, 4) minimum B. None of these is correct. C. (0, 0) minimum and (2, 4) point of inflection D. (0, 0) minimum and (2, 4) maximum Hint 3. 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 4. Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. A. relative minimum: (-0.6, 1.38); relative maximum: (0.6, 0.62) B. relative maximum: (1.38, -0.6); relative minimum (0.6, 0.62) C. relative minimum: (1.38, -0.6); relative maximum: (0.6, 0.62) D. relative maximum: (-0.6, 1.38); relative minimum: (0.6, 0.62) 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 (-2,-4)relative minimum (0,4) C. relative maximum (0.487, 3.968)relative minimum (1.24,5.34) D. relative minimum (-2,-4) relative maximum (0,4) Hint