In Exercises, sketch the graph of a single function that has all of the properties listed.

 (a) Continuous for all real numbers

(b) Differentiable everywhere except at x = 4

(c) ƒ(1) = 5

(d) ƒ′(1) = 0 and ƒ′(3) = 0

(e) ƒ′(x) > 0 on (-∞, 1) and (4, ∞)

(f) ƒ′(x) < 0 on (1, 3) and (3, 4)

(g)

(h) ƒ″(x) > 0 on (2, 3)
(i) ƒ″(x) < 0 on (-∞, 2), (3, 4), and (4, ∞)

Transcribed Image Text:

lim f'(x): x→4 - and lim_ f'(x) = x-4° = ∞