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) = - 10 (x + ²(x + BX³ (x+8 (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O 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 larger zero is (Type a whole number.) (H) The multiplicity of the smaller zero is (Type a whole number.) (b) The graph of f the x-axis at the larger x-intercept.
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) = - 10 (x + ²(x + BX³ (x+8 (a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O 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 larger zero is (Type a whole number.) (H) The multiplicity of the smaller zero is (Type a whole number.) (b) The graph of f the x-axis at the larger x-intercept.
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) =
- 10 (x + ²(x+85³
(a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O 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 larger zero is
(Type a whole number.)
(H)
The multiplicity of the smaller zero is
(Type a whole number.)
(b) The graph of f
the x-axis at the larger x-intercept.
![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 Ix.
f(x)= 10
=
- 10 (x + 2)² (X + 8) ³
(x+8)³
(Type a whole number.)
The multiplicity of the smaller zero is
(Type a whole number.)
(b) The graph of f
The graph of f
y=
the x-axis at the larger x-intercept.
the x-axis at the smaller x-intercept.
(H)
(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].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe427ba0e-d46b-4488-8f23-9c688fe4785b%2F3ab5015e-980c-4654-9aed-8bd0944be7f0%2Fibl2rpp_processed.png&w=3840&q=75)
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 Ix.
f(x)= 10
=
- 10 (x + 2)² (X + 8) ³
(x+8)³
(Type a whole number.)
The multiplicity of the smaller zero is
(Type a whole number.)
(b) The graph of f
The graph of f
y=
the x-axis at the larger x-intercept.
the x-axis at the smaller x-intercept.
(H)
(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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