Rational Parent Function

Rational Standard Form

( )

ay k

x h

( )

( )

x ry

x q

( 3)

( 7)(x 2)

xy

x

13

( 5)y

x

Example:

Example:

Transformations:

VA:

HA:

Domain:

Range:

Y-intercepts:Roots (x-int): VA:

HA:

Domain:Range:

Transformations:

VA:

HA:

Domain:

Range:

*Go to calculator to graph and get idea of lines between asymptotes – watch out for parenthesis

Pre AP

Y-intercepts:Roots (x-int): VA:HA:

Domain:Range:*Go to calculator to graph and get idea of lines between asymptotes – watch out for parenthesis

Y-intercepts:

Roots (x-int):

VA:

HA:

Domain:Range:

2 13 40( )

5

x xf x

x

4 5

( 4)(x 5)

xy

x

Example:

**Example:Y-intercepts:

Roots (x-int):

VA:

HA:

Domain:Range:

Example:

2

2

3 4( )

20

x xf x

x x

**Example:

34

( 2)y

x

Pre AP

Transformations:

VA:HA:Domain:Range:What is the domain for f(x) ≥ -7?

Y-intercepts:

Roots (x-int):

VA:

HA:

Domain:Range:

Rational Parent Function

Rational Standard Form

( )

ay k

x h

( )

( )

x ry

x q

( 3)

( 7)

xy

x

13

( 5)y

x

Example:

Example:

Transformations:

VA:

HA:

Domain:

Range:

Y-intercepts:Roots (x-int):

VA:

HA:

Domain:

Range:

LevelTransformations:

VA:

HA:

Domain:

Range:

*Go to calculator to graph and get idea of lines between asymptotes – watch out for parenthesis

Y-intercepts:Roots (x-int): VA:HA:

Domain:Range:*Go to calculator to graph and get idea of lines between asymptotes – watch out for parenthesis

Transformations:

VA:

HA:Domain:Range:What is the domain for f(x) ≥ -7?

Y-intercepts:Roots (x-int):

VA:

HA:

Domain:Range:

(4 5)

( 4)(x 5)

xy

x

24

( 2)y

x

Example:

Example:

Y-intercepts:Roots (x-int):

VA:

HA:

Domain:Range:

Example:

Example:

34

( 2)y

x

( 3)

( 2)( 2)

xy

x x

Level

Transformations:

VA:

HA:Domain:Range:What is the domain for f(x) ≥ -3?