A function and its graph are given. Use the second derivative to determine each of the following. Check your results against the 1 f(x) 4 fx) = + - 3x² + 6 f(x) 20/ 15 10 -8 -6 2 4 6. 8. -5 - 10 -15 -20 Determine intervals on which the function is concave up. (Enter your answer using interval notation.) Determine intervals on which the function is concave down. (Enter your answer using interval notation.) Locate the points of inflection. (If an answer does not exist, enter DNE.) (x, y) (smaller x-value) (x, y) = (| (larger x-value) 4.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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A function and its graph are given. Use the second derivative to determine each of the following. Check your results against the graph shown.
14
=
f(x)
4
*+ - 3x? + 6
f(x)
20-
15
10
-8
-6
2 4
6.
8.
-5
- 10
-15
-20
Determine intervals on which the function is concave up. (Enter your answer using interval notation.)
Determine intervals on which the function is concave down. (Enter your answer using interval notation.)
Locate the points of inflection. (If an answer does not exist, enter DNE.)
(х, у) -
(smaller x-value)
(x, y) :
(larger x-value)
=
Transcribed Image Text:A function and its graph are given. Use the second derivative to determine each of the following. Check your results against the graph shown. 14 = f(x) 4 *+ - 3x? + 6 f(x) 20- 15 10 -8 -6 2 4 6. 8. -5 - 10 -15 -20 Determine intervals on which the function is concave up. (Enter your answer using interval notation.) Determine intervals on which the function is concave down. (Enter your answer using interval notation.) Locate the points of inflection. (If an answer does not exist, enter DNE.) (х, у) - (smaller x-value) (x, y) : (larger x-value) =
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