In Exercises, sketch the graph of a single function that has all of the properties listed. (a)
Question:
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° = ∞
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