2) The graph of the function y = f(x) is shown below. Use the facts that F' = f and F(0) = 1 answer the following questions. a) Complete a table of values for y= F(x) for integer values of x from -3 to 5. b) Where does F have critical points? c) Sketch an accurate graph of F, clearly showing the concavity of the graph. d) Find the global maximum and global minimum values of F on the interval [-3,5]. y=f(x) -2 4 2 0 -2 y 2 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2) The graph of the function y = f(x) is shown below. Use the facts that F' = f and F(0) = 1 to
answer the following questions.
a) Complete a table of values for y= F(x) for integer values of x from -3 to 5.
b)
Where does F have critical points?
c) Sketch an accurate graph of F, clearly showing the concavity of the graph.
d) Find the global maximum and global minimum values of F on the interval [-3,5].
-4
y=f(x)
-2
4
2
0
-2
-4
y
4
x
Transcribed Image Text:2) The graph of the function y = f(x) is shown below. Use the facts that F' = f and F(0) = 1 to answer the following questions. a) Complete a table of values for y= F(x) for integer values of x from -3 to 5. b) Where does F have critical points? c) Sketch an accurate graph of F, clearly showing the concavity of the graph. d) Find the global maximum and global minimum values of F on the interval [-3,5]. -4 y=f(x) -2 4 2 0 -2 -4 y 4 x
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