Indicate with respect to the graphs in Fig. 10-9 which functions have (1) positive first derivatives for all x, (2) negative first derivatives for all x, (3) positive second derivatives for all x, (4) negative second derivatives for all x, (5) first derivatives equal to zero or undefined at some point, and (6)

second derivatives equal to zero or undefined at some point.

(1)

b, c, f; the graphs all move up from left to right.
(2)

d, e, h; the graphs all move down from left to right.
(3)

b, g, h; the graphs are all convex.
(4)

a, d, f; the graphs are all concave.
(5)

a, g; the graphs reach a plateau (at an extreme point).
(6)

c, e; the graphs have inflection points.

Transcribed Image Text:

x (h) x (p) x x (8) (3) x ( x (b) x x (e) (D)