For the polynomial function f(x) = = (3x² + 5)² (x² + 7), answer the following questions. (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning points on the graph. (d) Dotorming the ond hohavior that is find the power function that the graph of frocombles for largo values of ly

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 40E
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For the polynomial function f(x) = = (3x² + 5)² (x² + 7), answer the following questions.
(a) List each real zero and its multiplicity.
(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.
(c) Determine the maximum number of turning points on the graph.
(d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|.
Type un mwyvi vi u vimpinya muvavn. Voy a vonimna w supurus answers us nowvww.j
OB. The graph crosses the x-axis at
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OC. The graph touches the x-axis at and crosses at
(Type integers or simplified fractions. Use a comma to separate answers as needed.)
O D. The graph neither crosses nor touches the x-axis.
(c) The maximum number of turning points on the graph is
(d) The power function that the graph of fresembles for large values of |x| is y=.
Transcribed Image Text:For the polynomial function f(x) = = (3x² + 5)² (x² + 7), answer the following questions. (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|. Type un mwyvi vi u vimpinya muvavn. Voy a vonimna w supurus answers us nowvww.j OB. The graph crosses the x-axis at (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OC. The graph touches the x-axis at and crosses at (Type integers or simplified fractions. Use a comma to separate answers as needed.) O D. The graph neither crosses nor touches the x-axis. (c) The maximum number of turning points on the graph is (d) The power function that the graph of fresembles for large values of |x| is y=.
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