Given the function f(x) = -2x³ +96x + 1, determine the intervals where the function is increasing and decreasing, and the intervals of concavity. Write the intervals using inequalities for example: x < -1, 2 4 etc.... f(x) is increasing for: f(x) is decreasing for: f(x) is concave up for: f(x) is concave down for:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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Write the intervals using inequalities for example:
x < -1,
2<x<4;
x<-2 or x > 4

Given the function f(x) = −2x³ +96x + 1, determine the intervals where the function is increasing and
decreasing, and the intervals of concavity. Write the intervals using inequalities for example:
x < -1,
2<x<4;
X<-2 or x > 4
etc....
f(x) is increasing for:
f(x) is decreasing for:
f(x) is concave up for:
f(x) is concave down for:
Transcribed Image Text:Given the function f(x) = −2x³ +96x + 1, determine the intervals where the function is increasing and decreasing, and the intervals of concavity. Write the intervals using inequalities for example: x < -1, 2<x<4; X<-2 or x > 4 etc.... f(x) is increasing for: f(x) is decreasing for: f(x) is concave up for: f(x) is concave down for:
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