Consider the function below.f(x) = (x^2 − 4)^2 (a) Find critical numbers and the open intervals where the function is increasing/decreasing.(b) Find the local maximum and minimum value(s).(c) Find the intervals where the graph of the function is concave upward, concave downward, and inflection points.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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Consider the function below.
f(x) = (x^2 − 4)^2

(a) Find critical numbers and the open intervals where the function is increasing/decreasing.
(b) Find the local maximum and minimum value(s).
(c) Find the intervals where the graph of the function is concave upward, concave downward, and inflection points.

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