Polynomial And Rational Functions

Question 1

Quadratic Functions

Answer 1

Question 2

Graphing f(x) = ax2 + bx + c by Completing the Square

Answer 2

Question 3

Vertex Formula

Answer 3

Question 4

Division of Polynomials

Answer 4

Question 5

Complex Polynomial Functions

Answer 5

Question 6

The Fundamental Theorem of Algebra

Answer 6

Question 7

The Linear Factorization Theorem

Answer 7

Question 8

Zeroes of Multiplicity

Answer 8

Question 9

Corollary I: Irreducible Quadratic Factors

Answer 9

Question 10

Corollary II: Complex Conjugates

Answer 10

Question 11

Corollary III: Number of Zeroes

Answer 11

Question 12

The Intermediate Value Theorem

Answer 12

Question 13

The Rational Zeroes Theorem

Answer 13

Question 14

Tests to Determine If 1 or −1 is a Zero of P

Answer 14

Question 15

Descartes’ Rule of Signs

Answer 15

Question 16

Upper and Lower Bounds Property

Answer 16

Question 17

Polynomial Graphs and Turning Points

Answer 17

Question 18

The End Behavior of a Polynomial Graph

Answer 18

Question 19

Polynomial Graphs and Zeroes of Multiplicity

Answer 19

Question 20

Guidelines for Graphing Polynomial Functions

Answer 20

Question 21

Rational Functions

Answer 21

Question 22

Horizontal Asymptotes

Answer 22

Question 23

Vertical Asymptotes

Answer 23

Question 24

Vertical Asymptotes of a Rational Function

Answer 24

Question 25

Horizontal Asymptotes

Answer 25

Question 26

Guidelines for Graphing Rational Functions

Answer 26

Question 27

Oblique and Nonlinear Asymptotes

Answer 27

Question 28

Solving Polynomial Inequalities

Answer 28

Question 29

Direct Variation

Answer 29

Question 30

Solving Applications of Variation

Answer 30

Question 31

Inverse Variation

Answer 31