For the polynomial function below: (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|. f(x) = -9 (x² +9) (x-3)³ A. The real zero(s) of f is/are (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. There are no real zeros. The multiplicity of the zero is (Type a whole number.) (b) The graph of f (…) the x-axis at the x-intercept. (c) The maximum number of turning points on the graph is (Type a whole number.) (d) Type the power function that the graph of f resembles for large values of [x].
For the polynomial function below: (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|. f(x) = -9 (x² +9) (x-3)³ A. The real zero(s) of f is/are (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. There are no real zeros. The multiplicity of the zero is (Type a whole number.) (b) The graph of f (…) the x-axis at the x-intercept. (c) The maximum number of turning points on the graph is (Type a whole number.) (d) Type the power function that the graph of f resembles for large values of [x].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For the polynomial function below: (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|.
f(x) = -9 (x² +9) (x-3)³
A. The real zero(s) of f is/are
(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers
as needed.)
OB. There are no real zeros.
The multiplicity of the zero is
(Type a whole number.)
(b) The graph of f
(…)
the x-axis at the x-intercept.
v=
(c) The maximum number of turning points on the graph is
(Type a whole number.)
(d) Type the power function that the graph of f resembles for large values of |x|.
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