1. f(x)=-0.2(x-1)(x+3)(x-4)² a. What is the degree of the polynomial f(x) and what is the leading coefficient? Degree of f(x): Leading coefficient: b. Identify the end behavior of the graph As x→-00, y As x→∞, y→ c. What are the zeros of the polynomial? What is the multiplicity of each zero and is the zero a touch point or a cross point? Zero Multiplicity Touch/Cross

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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1. f(x) = -0.2(x-1)(x+3)(x-4)²
What is the degree of the polynomial f(x) and what is the leading coefficient?
Degree of f(x):
Leading coefficient:
b. Identify the end behavior of the graph
As x→ -∞, y→
a.
c. What are the zeros of the polynomial? What is the multiplicity of each zero and is
the zero a touch point or a cross point?
Zero
Multiplicity Touch/Cross
d. What is the y-intercept?
As x→∞, y→
e. Sketch the graph of the function.
Transcribed Image Text:1. f(x) = -0.2(x-1)(x+3)(x-4)² What is the degree of the polynomial f(x) and what is the leading coefficient? Degree of f(x): Leading coefficient: b. Identify the end behavior of the graph As x→ -∞, y→ a. c. What are the zeros of the polynomial? What is the multiplicity of each zero and is the zero a touch point or a cross point? Zero Multiplicity Touch/Cross d. What is the y-intercept? As x→∞, y→ e. Sketch the graph of the function.
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