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 - 18x? + 2x +3 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.) O 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. O A. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) O B. The graph is never concave downward. Determine the x, y coordinates of the inflection point of the graph of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type an ordered pair.) O B. There are no inflection points.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 94SE: A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius...
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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° - 18x + 2x + 3
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.)
O 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.
O A.
(Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.)
O B. The graph is never concave downward.
Determine the x, y coordinates of the inflection point of the graph of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
(Type an ordered pair.)
O B. 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. f(x) =x° - 18x + 2x + 3 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.) O 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. O A. (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) O B. The graph is never concave downward. Determine the x, y coordinates of the inflection point of the graph of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type an ordered pair.) O B. There are no inflection points.
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