Determine the multiplicity of the zeros of the following polynomials. 1. f(x) = (x-2) 2.f(x) = (x - 2)5 3. f(x) = (x - 2)¹ I

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...
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Determine the multiplicity of the zeros of the following polynomials.
1. f (x) = (x-2)
2.f(x) = (x - 2)5
3.f(x) = (x - 2)¹
4. f(x) = (x - 2)
I
C
:: crosses at x = 2
:: bounces at x = 2
:: wiggles at x = 2
Transcribed Image Text:Determine the multiplicity of the zeros of the following polynomials. 1. f (x) = (x-2) 2.f(x) = (x - 2)5 3.f(x) = (x - 2)¹ 4. f(x) = (x - 2) I C :: crosses at x = 2 :: bounces at x = 2 :: wiggles at x = 2
Without using desmos, which of the following could be the equation of the graph below? Justify your answer.
-2
4
N
0
-2
A. ƒ (x) = (x − 1)² (x + 1)(x − 2)
B. f (x) = (x + 1)(x − 1)(x + 2)²
c. f (x) = (x + 1)(x − 1)²(x − 2)
D. ƒ (x) = (x + 1)² (x − 1) (x − 2)
4
Transcribed Image Text:Without using desmos, which of the following could be the equation of the graph below? Justify your answer. -2 4 N 0 -2 A. ƒ (x) = (x − 1)² (x + 1)(x − 2) B. f (x) = (x + 1)(x − 1)(x + 2)² c. f (x) = (x + 1)(x − 1)²(x − 2) D. ƒ (x) = (x + 1)² (x − 1) (x − 2) 4
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