Given the following graph of the derivative of the function (y f'(x)) on [-3, 9], determine the following: flx) 5 -3 -1 1 4 5 8. -1 -2 Figure 64 (a) The largest intervals on which is f increasing. (b) The largest intervals on which is f decreasing. (c) The open intervals on which is f concave up. 3. 2. 3. 2. 1. 2,

Calculus: Early Transcendentals
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Author:James Stewart
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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. Given the following graph of the derivative of the function (y = f'(x)) on [-3, 9], determine
the following:
%3D
y
ftx)
3
1
-3
2
-1
1
3
4
5
6.
8
-1
-2
Figure 64
(a) The largest intervals on which is f increasing.
(b) The largest intervals on which is f decreasing.
(c) The open intervals on which is f concave up.
(d) The open intervals on which is f concave down.
(e) The x-values where f has a local minimum.
(f) The x-values where f has a local maximum.
(g) The x-values for inflection points of f.
(h) Sketch a possible graph of the function f on the interval [-3,9]. (The graph of f is not
unique).
Transcribed Image Text:2. Given the following graph of the derivative of the function (y = f'(x)) on [-3, 9], determine the following: %3D y ftx) 3 1 -3 2 -1 1 3 4 5 6. 8 -1 -2 Figure 64 (a) The largest intervals on which is f increasing. (b) The largest intervals on which is f decreasing. (c) The open intervals on which is f concave up. (d) The open intervals on which is f concave down. (e) The x-values where f has a local minimum. (f) The x-values where f has a local maximum. (g) The x-values for inflection points of f. (h) Sketch a possible graph of the function f on the interval [-3,9]. (The graph of f is not unique).
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