whereas Problems 2 and 3 are about determining this information algebraically. A hint for Problem 1: remember that there are two "flavors" of critical points. . The graph of the derivative f'of a continuous function f is shown. Use the graph to determine the following. For each, give a very short description (i.e. a few words) indicating how you found them. a. critical points of f. ( notice f, not f ') y y = f(x), b. intervals where f is decreasing. 2 C. values of x where f has a local maximum. 6. d. values of x where f has a local minimum. -2 e. intervals where f concave down. f. values of x where f has an inflection point g. Assuming that f(0) = 0, sketch a graph of f using the axes given. (Recall that f is continuous.) +2 -1 5. 6. 10
whereas Problems 2 and 3 are about determining this information algebraically. A hint for Problem 1: remember that there are two "flavors" of critical points. . The graph of the derivative f'of a continuous function f is shown. Use the graph to determine the following. For each, give a very short description (i.e. a few words) indicating how you found them. a. critical points of f. ( notice f, not f ') y y = f(x), b. intervals where f is decreasing. 2 C. values of x where f has a local maximum. 6. d. values of x where f has a local minimum. -2 e. intervals where f concave down. f. values of x where f has an inflection point g. Assuming that f(0) = 0, sketch a graph of f using the axes given. (Recall that f is continuous.) +2 -1 5. 6. 10
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...
Related questions
Question
![whereas Problems 2 and 3 are about determining this information algebraically. A hint for Problem 1: remember that
there are two "flavors" of critical points.
. The graph of the derivative f'of a continuous function f is shown. Use the graph to determine the
following. For each, give a very short description (i.e. a few words) indicating how you found them.
a. critical points of f. ( notice f, not f ')
yf
y= f(x)
b. intervals where f is decreasing.
2
C. values of x where f has a local maximum.
6.
d. values of x where f has a local minimum.
-2
e. intervals where f concave down.
f. values of x where f has an inflection point
g. Assuming that f(0)
= 0, sketch a graph of f using the axes given. (Recall that f is continuous.)
+2
-1
5.
6.
10
Page 1 of 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ba949df-8559-4734-babe-94837d7290cb%2F7ffeafbc-3e38-46bd-9ae1-1a399fc07c1d%2Fgfs2v7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:whereas Problems 2 and 3 are about determining this information algebraically. A hint for Problem 1: remember that
there are two "flavors" of critical points.
. The graph of the derivative f'of a continuous function f is shown. Use the graph to determine the
following. For each, give a very short description (i.e. a few words) indicating how you found them.
a. critical points of f. ( notice f, not f ')
yf
y= f(x)
b. intervals where f is decreasing.
2
C. values of x where f has a local maximum.
6.
d. values of x where f has a local minimum.
-2
e. intervals where f concave down.
f. values of x where f has an inflection point
g. Assuming that f(0)
= 0, sketch a graph of f using the axes given. (Recall that f is continuous.)
+2
-1
5.
6.
10
Page 1 of 2
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