Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

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Transcript of Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Graphing Rational Equations(Yeay for Graphing)

TS: Demonstrating Understanding of Concepts

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

1 3( )

1

xf x

x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

1 3( )

1

xf x

x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2( )

9

xg x

x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2( )

9

xg x

x

Give an equation for the graph

(0, -5/3)

Give an equation for the graph

(0, -5/3)

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2

5( 4)

12

xy

x x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2

5( 4)

12

xy

x x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2 16

4

xy

x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2 16

4

xy

x

Give an equation for the graph

(0, 1/2)

Give an equation for the graph

(0, 1/2)

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

21( )

xm x

x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

21( )

xm x

x

What is an example of an even rational function with two vertical

asymptotes? What kind of symmetry does it have?

What is an example of an even rational function with two vertical

asymptotes? What kind of symmetry does it have?

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

3

2

8

1

xy

x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

3

2

8

1

xy

x

Give an equation for the graph

Give an equation for the graph

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

1

6y

x

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

1

6y

x