## Stationary and Turning Points Answers

1.

 a (3, 9) maximum point. b (- 4, -16) minimum point c (0, 0) point of inflection d (1, 0) point of inflection e (2, -16) local minimum, (-2, 16) local maximum f (3, 54) local maximum, (-3, -54) local minimum g (0, 3) maximum point h (3, 7) local minimum, (-3, -5) local maximum i (0, 4.5) local minimum j (0, 3) maximum point k (2, 144) maximum, (4, 128) local minimum, (6, 144) maximum l (3, 0) minimum point m (-2, 0) point of inflection n (0, 0) minimum point, (3, 27) point of inflection o (2, 32) local maximum, (6, 0) local minimum

2.

 a (4, 16) maximum point. b (- 2.5, -6.25) minimum point c (-7, 539) local maximum, (5, -325) local minimum d (4, 128) local maximum, (-4, -128) local minimum e (3, -53) local minimum, (-3, 55) local maximum f (0, 0) local minimum, (8, 256) local maximum g (2, 16) local maximum, (-2, -16) local minimum h (0, 0) local minimum, (2, 8) local maximum i (-1, 0) point of inflection j (0, 0) minimum point k (0, 0) point of inflection, (1.5, -1.6875) local minimum l None m None n (0, 0) point of inflection, (1.55, 5.93) local maximum, (-1.55, -5.93) local minimum o (-3, -9) minimum, (1, -9) minimum, (-1, 7) local maximum