Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points. f(x)=x² +6x² For what interval(s) of x is the graph of f concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) OB. The graph is never concave upward. For what interval(s) of x is the graph of f concave downward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) OB. The graph is never concave downward. Determine the x coordinates of any inflection points of the graph of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type an exact answer. Use a comma to separate answers as needed.) OB. There are no inflection points

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the
inflection points.
4
f(x) = x² + 6x²
For what interval(s) of x is the graph of f concave upward? Select the correct choice below and, if necessary, fill in the answer box to
complete your choice.
O A.
(Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.)
B. The graph is never concave upward.
For what interval(s) of x is the graph of f concave downward? Select the correct choice below and, if necessary, fill in the answer box
to complete your choice.
A.
(Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.)
B. The graph is never concave downward.
Determine the x coordinates of any inflection points of the graph of f(x). Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
A.
B
(Type an exact answer. Use a comma separate answers as needed.)
There are no inflection points
Transcribed Image Text:Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points. 4 f(x) = x² + 6x² For what interval(s) of x is the graph of f concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) B. The graph is never concave upward. For what interval(s) of x is the graph of f concave downward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) B. The graph is never concave downward. Determine the x coordinates of any inflection points of the graph of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. B (Type an exact answer. Use a comma separate answers as needed.) There are no inflection points
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