Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is...

14
Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: b ac 2 4 If it is Positive: Then there are Two Solutions If it is Zero: Then there is One Solution If it is Negative: Then there is No Solution

TAGS:

Transcript of Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is...

Page 1: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

Notes Over 9.7Using the Discriminant

The discriminant is the expression under the radical:

b ac2 4If it is Positive:Then there are Two Solutions

If it is Zero:Then there is One Solution

If it is Negative:Then there is No Solution

Page 2: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of SolutionsFinding the Number of Solutions

02510 1 2 xx.

100

Tell if the equation has two solutions, one solution, or no solution.

10 1 25

1000

Page 3: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of SolutionsFinding the Number of Solutions

012 2 2 xx.

1

Tell if the equation has two solutions, one solution, or no solution.

1 2 18

9

Page 4: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of SolutionsFinding the Number of Solutions

042 3 2 xx.

4

Tell if the equation has two solutions, one solution, or no solution.

2 1 4

1612

Page 5: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of SolutionsFinding the Number of Solutions

096 4 2 xx.

36

Tell if the equation has two solutions, one solution, or no solution.

6 1 936

0

Page 6: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of SolutionsFinding the Number of Solutions

0452 5 2 xx.

25

Tell if the equation has two solutions, one solution, or no solution.

5 2 4327

Page 7: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of SolutionsFinding the Number of Solutions

01623 6 2 xx.

4

Tell if the equation has two solutions, one solution, or no solution.

2 3 16192

196

Page 8: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of Finding the Number of xx-Intercepts-Intercepts

168 .7 2 xxy

64

Determine whether the graph of the function will intersect the x-axis in zero, one , or two points.

8 1 16

640

Page 9: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of Finding the Number of xx-Intercepts-Intercepts

18 .8 2 xxy

64

Determine whether the graph of the function will intersect the x-axis in zero, one , or two points.

8 1 1

468

Page 10: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of Finding the Number of xx-Intercepts-Intercepts

188 .9 2 xxy

64

Determine whether the graph of the function will intersect the x-axis in zero, one , or two points.

8 1 18

728

Page 11: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of Finding the Number of xx-Intercepts-Intercepts

362 .10 2 xxy

36

Determine whether the graph of the function will intersect the x-axis in zero, one , or two points.

6 2 3

2412

Page 12: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of Finding the Number of xx-Intercepts-Intercepts

85 .11 2 xxy

25

Determine whether the graph of the function will intersect the x-axis in zero, one , or two points.

5 1 832

7

Page 13: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

b a c2 4 b gb g

Notes Over 9.7Finding the Number of Finding the Number of xx-Intercepts-Intercepts

9124 .12 2 xxy

144

Determine whether the graph of the function will intersect the x-axis in zero, one , or two points.

12 4 9

1440

Page 14: Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

Notes Over 9.7


SPSS Discriminant Function Analysis - PiratePanelcore.ecu.edu/ofe/StatisticsResearch/SPSS Discriminant Function... · SPSS Discriminant Function Analysis By Hui Bian Office for Faculty

SPSS Discriminant Function Analysis - PiratePanelcore.ecu.edu/ofe/StatisticsResearch/SPSS Discriminant Function... · SPSS Discriminant Function Analysis By Hui Bian Office for Faculty

Barycentric Discriminant Analysis

Barycentric Discriminant Analysis

Discriminant Analysis with Graph Learning for ...crabwq.github.io/pdf/2018 Discriminant Analysis... · Linear Discriminant Analysis Revisited In this section, the Linear Discriminant

Discriminant Analysis with Graph Learning for ...crabwq.github.io/pdf/2018 Discriminant Analysis... · Linear Discriminant Analysis Revisited In this section, the Linear Discriminant

· PDF fileLECTURE 10: Linear Discriminant Analysis • Linear Discriminant Analysis, two classes • Linear Discriminant Analysis, C classes • I-DA vs. PCA example

· PDF fileLECTURE 10: Linear Discriminant Analysis • Linear Discriminant Analysis, two classes • Linear Discriminant Analysis, C classes • I-DA vs. PCA example

Linear Discriminant Functions Discriminant Functions Least Squares Method Fisher’s Linear Discriminant Probabilistic Generative Models.

Linear Discriminant Functions Discriminant Functions Least Squares Method Fisher’s Linear Discriminant Probabilistic Generative Models.

Chapter 25 Discriminant Analysis - UPF€¦ · SPSS activity – discriminant analysis 593 Stepwise discriminant analysis 604 Chapter 25 Discriminant Analysis Introduction This chapter

Chapter 25 Discriminant Analysis - UPF€¦ · SPSS activity – discriminant analysis 593 Stepwise discriminant analysis 604 Chapter 25 Discriminant Analysis Introduction This chapter

Fisher's linear discriminant

Fisher's linear discriminant

Linear discriminant analysis, two classes Linear discriminant

Linear discriminant analysis, two classes Linear discriminant

Discriminant e

Discriminant e

Kernelized Discriminant Analysis and Adaptive Methods for Discriminant Analysis

Kernelized Discriminant Analysis and Adaptive Methods for Discriminant Analysis

Discriminant Analysis To describe multiple regression analysis and multiple discriminant analysis. Discriminant Analysis.

Discriminant Analysis To describe multiple regression analysis and multiple discriminant analysis. Discriminant Analysis.

Discriminant analysis

Discriminant analysis

Chapter 5: Linear Discriminant Functions Introduction Linear Discriminant Functions and Decisions Surfaces Generalized Linear Discriminant Functions.

Chapter 5: Linear Discriminant Functions Introduction Linear Discriminant Functions and Decisions Surfaces Generalized Linear Discriminant Functions.

The Quadratic Formula and the Discriminant. The Discriminant.

The Quadratic Formula and the Discriminant. The Discriminant.

1 Lecture 4 Linear machine Linear discriminant functions Generalized linear discriminant function Fisher’s Linear discriminant Perceptron Optimal separating.

1 Lecture 4 Linear machine Linear discriminant functions Generalized linear discriminant function Fisher’s Linear discriminant Perceptron Optimal separating.

1. Fisher Linear Discriminant 2. Multiple Discriminant Analysis

1. Fisher Linear Discriminant 2. Multiple Discriminant Analysis

Linear Discriminant Functionsvision.psych.umn.edu/users/schrater/schrater_lab/...6 –The multi-category case •We define c linear discriminant functions and assign x to ω i if

Linear Discriminant Functionsvision.psych.umn.edu/users/schrater/schrater_lab/...6 –The multi-category case •We define c linear discriminant functions and assign x to ω i if

1. Fisher Linear Discriminant 2. Multiple Discriminant ...

1. Fisher Linear Discriminant 2. Multiple Discriminant ...

Discriminant How To

Discriminant How To

Tutorials: The Discriminant

Tutorials: The Discriminant