Consider the function f(x) = x^4 − 5x^3 + 9x^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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 2ECP: Use the Vertical Line Test to determine whether the graph represents y as a function of x.
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Consider the function f(x) = x^4 − 5x^3 + 9x^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.

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