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)=x+3x² 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. 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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 5SC
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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.
f(x)=x+3x²
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.
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.
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. f(x)=x+3x² 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. 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.
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