Sketch a continuous function satisfies all the following conditions and label your sketch with the conditions' corresponding letters (a, b, c, etc.): a. f(0) = f(3) = 0 b. f(-1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) > 0 for –1< x < 0 and 1< x < ∞ f"(-) = f" ( ) = f"(2) = 0 f. f"(x) < 0 on –

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
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Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in complete sentences when necessary. 

Answer all questions in the space provided. Show ALL your steps in your calculations. Answer
in complete sentences when necessary.
Sketch a continuous function satisfies all the following conditions and label your sketch with the
conditions' corresponding letters (a, b, c, etc.):
a. f(0) = f(3) = 0
b. f(-1) = -2
c. f'(-1) = f'(0) = f'(1) = 0
d. f'(x) > 0 for -1 < x < 0 and 1 < x < 0
f"(-;) = s" ( ) = f"(2) = 0
f. f"(x) < 0 on -;<x <; and 2 < x < ∞
е.
2
g.
lim f(x) = ∞
Transcribed Image Text:Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in complete sentences when necessary. Sketch a continuous function satisfies all the following conditions and label your sketch with the conditions' corresponding letters (a, b, c, etc.): a. f(0) = f(3) = 0 b. f(-1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) > 0 for -1 < x < 0 and 1 < x < 0 f"(-;) = s" ( ) = f"(2) = 0 f. f"(x) < 0 on -;<x <; and 2 < x < ∞ е. 2 g. lim f(x) = ∞
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