Let f'(x) = x*+4x³ + 2x² + 12x+1. a. For what values of x is f(x) concave up? (Blank 1) b. For what values of x is f(x) concave down? (Blank 2). c. For what values of x does f(x) have a point of inflection?

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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Let f'(x) = x² + 4x³ + 2x² + 12x+1
a. For what values of x is f(x) concave up? (Blank 1)
b. For what values of x is f(x) concave down? (Blank 2)
c. For what values of x does f(x) have a point of inflection? (Blank 3)
Transcribed Image Text:Let f'(x) = x² + 4x³ + 2x² + 12x+1 a. For what values of x is f(x) concave up? (Blank 1) b. For what values of x is f(x) concave down? (Blank 2) c. For what values of x does f(x) have a point of inflection? (Blank 3)
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