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Given the function a) Apply the leading coefficient test. b) Find the zeros by factoring. c) Find additional points between the zeros. d) Sketch the graph. f(x)=x²(x²-4) 3 IN 7 + m 2 H 1 N m 4 n H 2 3 + n

Given the function a) Apply the leading coefficient test. b) Find the zeros by factoring. c) Find additional points between the zeros. d) Sketch the graph. f(x)=x²(x²-4) 3 IN 7 + m 2 H 1 N m 4 n H 2 3 + n

Advanced Engineering Mathematics
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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Given the function \( f(x) = x^2(x^2 - 4) \): a) Apply the leading coefficient test. b) Find the zeros by factoring. c) Find additional points between the zeros. d) Sketch the graph. **Graph Description:** - The graph is a standard Cartesian coordinate plane with the x-axis and y-axis labeled from -5 to 5. - Grid lines are present to help plot values accurately. The origin is at the center of the graph.
Transcribed Image Text:Given the function \( f(x) = x^2(x^2 - 4) \): a) Apply the leading coefficient test. b) Find the zeros by factoring. c) Find additional points between the zeros. d) Sketch the graph. **Graph Description:** - The graph is a standard Cartesian coordinate plane with the x-axis and y-axis labeled from -5 to 5. - Grid lines are present to help plot values accurately. The origin is at the center of the graph.
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