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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

it's all one question 

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning