Find the x-intercepts and describe the behavior of the graph of the polynomial function at the x-intercepts. f(x) = x3 - 6x2 The two x-intercepts are (0,0), (6,0) (Type an ordered pair. Use a comma to separate answers as needed.) The graph will cross the x-axis at the point (Type an ordered pair.) The graph will touch, but not cross, the x-axis at the point (Type an ordered pair.)

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 39E
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Find the x-intercepts and describe the behavior of the graph of the polynomial function at the x-intercepts.
f(x) = x³ – 6x?
The two x-intercepts are (0,0), (6,0)
(Type an ordered pair. Use a comma to separate answers as needed.)
The graph will cross the x-axis at the point
(Type an ordered pair.)
The graph will touch, but not cross, the x-axis at the point .
(Type an ordered pair.)
Transcribed Image Text:Find the x-intercepts and describe the behavior of the graph of the polynomial function at the x-intercepts. f(x) = x³ – 6x? The two x-intercepts are (0,0), (6,0) (Type an ordered pair. Use a comma to separate answers as needed.) The graph will cross the x-axis at the point (Type an ordered pair.) The graph will touch, but not cross, the x-axis at the point . (Type an ordered pair.)
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