nsider the following. f(x) = x² + x³ - 6x (a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) (b) Determine whether the multiplicity of each zero is even or odd. smallest x-value ---Select--- ---Select--- ---Select--- largest x-value (c) Determine the maximum possible number of turning points of the graph of a function of equal degree to f(x). turning point(s)
nsider the following. f(x) = x² + x³ - 6x (a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) (b) Determine whether the multiplicity of each zero is even or odd. smallest x-value ---Select--- ---Select--- ---Select--- largest x-value (c) Determine the maximum possible number of turning points of the graph of a function of equal degree to f(x). turning point(s)
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
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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3.210
Transcribed Image Text:nsider the following.
f(x) = x² + x³ - 6x
(a) Find all real zeros of the polynomial function. (Enter your answers as a comma-separated list. If there is no solution,
enter NO SOLUTION.)
X =
(b) Determine whether the multiplicity of each zero is even or odd.
smallest x-value
---Select---
---Select---
---Select--- O
largest x-value
(c) Determine the maximum possible number of turning points of the graph of a function of equal degree to f(x).
turning point(s)
(d) Use a graphing utility to graph the function and verify your answers.
f(x)
-10
-10
-5
-5
30
20
10
10
-20
-30
f(x)
20
10
10
-20
-30
5
-X
10
10
X
-10
-10
-5
-5
f(x)
30
20
10
10
-20
-30
f(x)
30
20
10
10
20
-30
5
5
10
10
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