3x5 + 18x4 + 27x3 = 0 Multiplicity: The number of times a root is 3x³(x+3)(x+3)= 0 repeated. X= 0, -3 The root -3 has a (-3, 0) The root 0 has a multiplicity of 2. The graph touches at (-3, 0). multiplicity of 3. The graph bends near (0, 0). -2. (0, 0) 20 EVEN multiplicity: graph will bend ODD multiplicity: graph will cross x-axis Multiplicity a) What does it mean? b) When given a graph, how can you determine if the multiplicity is even or odd? NORMAL FLOAT AUTO REAL RADIAN MP +++A +++

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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Please answer part a and b, thx!
3x5 + 18x4 + 27x³ = 0
Multiplicity:
The number of
times a root is
3x³(x+3)(x+3)= 0
repeated.
х3D 0, -3
The root -3 has a
-3, 0)
The root 0 has a
multiplicity of 2.
The graph touches
at (-3, 0).
multiplicity of 3.
The gra
near (0, 0).
-2
-(0, 0)
bends
20
EVEN multiplicity:
graph will bend
ODD multiplicity:
graph will cross x-axis
Multiplicity
a) What does it mean?
b) When given a graph, how can you determine if the multiplicity is even or odd?
NORMAL FLOAT AUTO REAL RADIAN MP
Transcribed Image Text:3x5 + 18x4 + 27x³ = 0 Multiplicity: The number of times a root is 3x³(x+3)(x+3)= 0 repeated. х3D 0, -3 The root -3 has a -3, 0) The root 0 has a multiplicity of 2. The graph touches at (-3, 0). multiplicity of 3. The gra near (0, 0). -2 -(0, 0) bends 20 EVEN multiplicity: graph will bend ODD multiplicity: graph will cross x-axis Multiplicity a) What does it mean? b) When given a graph, how can you determine if the multiplicity is even or odd? NORMAL FLOAT AUTO REAL RADIAN MP
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