MATH 1306 – Homework Handout # 8

Answers To Odd-numbered Problems

1a.       g '(0) = -12 ; decreasing since g '(0) < 0

1b.       g '(3) = -3 ; decreasing since g '(3) < 0

1c.       No ; it is not a turning point since the function does not change direction at x = 2.

1d.       g "(0) = 12 ; concave up since g "(0) > 0

1e.       g "(3) = -6 ; concave down since g "(3) < 0

1f.       Yes ; the function changes from concave up to concave down at x = 2.

3a.       f "(0) = -42 ; concave down since f "(0) < 0

3b.       f "(2) = 42 ; concave up since f "(2) > 0

3c.       Yes ; the function changes from concave down to concave up at x = 1.