3. Find tne open inte up (uown). Tmen dele vais on dinates oi all iniection por 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at a = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none".

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.4: Zeros Of A Polynomial
Problem 31E
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Let f(x) = -x* – 9x³ + 8x + 3. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f.
1.
f is concave up on the intervals
2. f is concave down on the intervals
3.
The inflection points occur at x =
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".
In the last one, your answer should be a comma separated list of x values or the word "none".
Transcribed Image Text:Let f(x) = -x* – 9x³ + 8x + 3. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none".
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