5. For the function: x3 f(x) = f'(x) = (x+2) 2x3 + 6x2 (x + 2)² ₤"(x) 2x312x2 +24x (x+2)³ a) Find the domain. b) Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of the discontinuity. c) Find all intercepts. d) Find critical point(s). e) Find any local extrema. f) Find point(s) of inflection. g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection.
5. For the function: x3 f(x) = f'(x) = (x+2) 2x3 + 6x2 (x + 2)² ₤"(x) 2x312x2 +24x (x+2)³ a) Find the domain. b) Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of the discontinuity. c) Find all intercepts. d) Find critical point(s). e) Find any local extrema. f) Find point(s) of inflection. g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.6: More On Graphing Rational Functions
Problem 28PS
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