Consider the function f(x) = x−2 (x^2−x+1)^2 Find a)  The intervals on which f is increasing. b)  The intervals on which f is decreasing. c)  The open intervals on which f is concave up.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Consider the function f(x) = x−2 (x^2−x+1)^2

Find

  1. a)  The intervals on which f is increasing.

  2. b)  The intervals on which f is decreasing.

  3. c)  The open intervals on which f is concave up.

  4. d)  The open intervals on which f is concave down.

  5. e)  The inflection points.

  6. f)  By first and second derivative test find relative maxima and minima.

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