Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection.

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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Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection.
3
f(x) = -a
X-3
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.)
O A. The function is concave upward on
and concave downward on
O B. The function is concave upward on
There are no intervals on which the function is concave downward.
O C. The function is concave downward on
There are no intervals on which the function is concave upward.
Transcribed Image Text:Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. 3 f(x) = -a X-3 Select the correct choice below and fill in the answer boxes to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) O A. The function is concave upward on and concave downward on O B. The function is concave upward on There are no intervals on which the function is concave downward. O C. The function is concave downward on There are no intervals on which the function is concave upward.
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