Given:  g(x) = (3-x^2)^4  Construct a table of signs for g ' and g ''. Identify the intervals where the graph of g is increasing, decreasing, concave up, and concave down, and identify the relative extremum points and point of inflection of the graph. Sketch the graph and label the intercepts, relative extremum points, points of inflection, and asymptotes.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 29E: Getting Information from a Graph From the graph, determine the x- and y-intercepts and the vertical...
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Given:  g(x) = (3-x^2)^4 

Construct a table of signs for g ' and g ''. Identify the intervals where the graph of g is increasing, decreasing, concave up, and concave down, and identify the relative extremum points and point of inflection of the graph.

Sketch the graph and label the intercepts, relative extremum points, points of inflection, and asymptotes.

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