Chapter 2.2 Algebraic Functions

Definition of Functions

Example 2.2.1

Notations

Vertical Line Test

Example 2.2.2

Algebraic Functions

Transcendental Functions

Polynomial Functions

Constant Functions

Example 2.2.3

Linear Functions

Example x0-4/3 y40

Quadratic Functions

Example 2.2.5

x13 y55

Quadratic Functions

Example 2.2.6

x-3 y00

Maximum/Minimum Value

Example 2.2.7

Cubic Functions

x01 y 01 Example 2.2.8

x123 y432 Example 2.2.9

Rational Functions

Example

Asymptotes

Example

Asymptotes

Example

Example

x34 y42.5 X1 y-20

x02 y 0

x01 y10.5 x-2-3 y-0.5

Square Root Functions

Example

Example x34 y23

Example

Example x-303 y0 0

Challenge!

Conditional Functions

Example

Example

x0-2/3 y20

Absolute Value Functions

Example x04 y33

x03 y-50