x +1 Find all intervals, if any, on which the graph of the function f(x) = is concave upward. x %D а. (-о, о) b. (-00,0) аnd (1, о) c. (-0,0) and (0,0) d. (1, 0) none of these е.

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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x´ +1
Find all intervals, if any, on which the graph of the function f(x) =
is concave upward.
2
x²
a. (-0,0)
b. (-∞,0) and (1, 0)
с. (-0,0) аnd (0, 0)
d. (1, ∞)
none of these
е.
Transcribed Image Text:x´ +1 Find all intervals, if any, on which the graph of the function f(x) = is concave upward. 2 x² a. (-0,0) b. (-∞,0) and (1, 0) с. (-0,0) аnd (0, 0) d. (1, ∞) none of these е.
The data in the chart below shows the critical numbers and selected values of the function and its
derivatives near those critical numbers. What can be determined about points of inflection of f?
-8
-6
-4
-2
2
4
6.
8
f (x)
f (x)
f "(x) -14
-2
8
6
1
-1
-6
-8
2
12
-3
-2
-2
-4
10
-3
1
-1
4
12
a. There are points of inflection at x=-6, and x=6.
b. There are points of inflection at x=-6, x= 0, and x=6.
c. There are points of inflection at x=-4, x= 0, and x=4.
d. There is a point of inflection at x=0.
%3D
e. There are no points of inflection.
Transcribed Image Text:The data in the chart below shows the critical numbers and selected values of the function and its derivatives near those critical numbers. What can be determined about points of inflection of f? -8 -6 -4 -2 2 4 6. 8 f (x) f (x) f "(x) -14 -2 8 6 1 -1 -6 -8 2 12 -3 -2 -2 -4 10 -3 1 -1 4 12 a. There are points of inflection at x=-6, and x=6. b. There are points of inflection at x=-6, x= 0, and x=6. c. There are points of inflection at x=-4, x= 0, and x=4. d. There is a point of inflection at x=0. %3D e. There are no points of inflection.
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