Sketch the graph of a twice-differentiable function with the following properties. Čabel coordinates where possible. f"(x) f'(x) < 0 f"(x) > 0 f(x) = 0 f'(x) = 0 f"(x) = 0 f'(x) < 0 | f"(x) < 0 f (x) = -4 f'(x) < 0 f"(x) = 0 f'(x) < 0 f"(x) > 0 f (x) = -8 | f'(x) = 0 | f"(x) > 0 f'(x) > 0 | f"(x) > 0 f(x) f'(x) x < -3 x = -3 -3 < x < -1 x = -1 -1 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Sketch the graph of a twice-differentiable function with the following
properties. Čabel coordinates where possible.
f"(x)
f'(x) < 0 | f"(x) > 0
f'(x) = 0 | f"(x) = 0
f'(x) < 0 f"(x) < 0
f (x) = -4 f'(x) < 0 f"(x) = 0
f'(x) < 0 f"(x) > 0
f (x) = -8 f'(x) = 0 f"(x) > 0
f'(x) > 0 | f"(x) > 0
f(x)
f'(x)
x < -3
f (x) = 0
x = -3
-3 < x < -1
x = -1
-1 <x < 2
x = 2
x > 2
Transcribed Image Text:Sketch the graph of a twice-differentiable function with the following properties. Čabel coordinates where possible. f"(x) f'(x) < 0 | f"(x) > 0 f'(x) = 0 | f"(x) = 0 f'(x) < 0 f"(x) < 0 f (x) = -4 f'(x) < 0 f"(x) = 0 f'(x) < 0 f"(x) > 0 f (x) = -8 f'(x) = 0 f"(x) > 0 f'(x) > 0 | f"(x) > 0 f(x) f'(x) x < -3 f (x) = 0 x = -3 -3 < x < -1 x = -1 -1 <x < 2 x = 2 x > 2
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