7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x) is increasing or decreasing. (b) Find relative maximum and relative minimum values of f(x). (c) Determine intervals of concave upward and concave downward. (d) Find inflection point(s) of f(x) as an ordered pair (x, f(x)).
7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x) is increasing or decreasing. (b) Find relative maximum and relative minimum values of f(x). (c) Determine intervals of concave upward and concave downward. (d) Find inflection point(s) of f(x) as an ordered pair (x, f(x)).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞)
(a) Determine on which intervals f(x) is increasing or decreasing.
(b) Find relative maximum and relative minimum values of f(x).
(c) Determine intervals of concave upward and concave downward.
(d) Find inflection point(s) of f(x) as an ordered pair (x, f(x)).
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