Use the graph of f'(x) to discuss the graph of y = f(x). Organize your conclusions in a table and sketch a possible graph of y=f(x). -30 000 -2000 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function f is decreasing on the subinterval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function f is never decreasing.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the graph of f'(x) to discuss the graph of
y = f(x). Organize your conclusions in a table and
sketch a possible graph of y=f(x).
-30
000
-2000
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The function f is decreasing on the subinterval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
O B. The function f is never decreasing.
Transcribed Image Text:Use the graph of f'(x) to discuss the graph of y = f(x). Organize your conclusions in a table and sketch a possible graph of y=f(x). -30 000 -2000 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function f is decreasing on the subinterval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function f is never decreasing.
Expert Solution
Step 1

We know that graph of f(x) increasing if f'(x) >0 and graph of decreasing if f'(x) <0 . 

 

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