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) = x3 - 24x? + 19x + 6 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. 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 downward.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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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) = x3 - 24x? + 19x + 6
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.
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 downward.
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) = x3 - 24x? + 19x + 6 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. 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 downward.
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