2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave up/down.

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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2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave
up/down.
8
Transcribed Image Text:2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave up/down. 8
III. Suppose that a function f(x) satisfies the following properties, together with the table of signs
given below.
dom f= R\{-1}
• lim f(x) = 2
lim f(x) = +∞
x4+x
24-1+
lim [f(x)(1-x)] = 0
lim f(x) = -00
x-17
-1 (-1,0) 0 (0,2) 2 (2, +∞)
f
und
0
1
und
0
+ +
+
f"
und
+
+
0
-
(-∞, -1)
-
+
Transcribed Image Text:III. Suppose that a function f(x) satisfies the following properties, together with the table of signs given below. dom f= R\{-1} • lim f(x) = 2 lim f(x) = +∞ x4+x 24-1+ lim [f(x)(1-x)] = 0 lim f(x) = -00 x-17 -1 (-1,0) 0 (0,2) 2 (2, +∞) f und 0 1 und 0 + + + f" und + + 0 - (-∞, -1) - +
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