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

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

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

Page 1: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Graphing Rational Equations(Yeay for Graphing)

TS: Demonstrating Understanding of Concepts

Page 2: 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

Page 3: 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

Page 4: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2( )

9

xg x

x

Page 5: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2( )

9

xg x

x

Page 6: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Give an equation for the graph

(0, -5/3)

Page 7: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Give an equation for the graph

(0, -5/3)

Page 8: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2

5( 4)

12

xy

x x

Page 9: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2

5( 4)

12

xy

x x

Page 10: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2 16

4

xy

x

Page 11: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

2 16

4

xy

x

Page 12: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Give an equation for the graph

(0, 1/2)

Page 13: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Give an equation for the graph

(0, 1/2)

Page 14: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

21( )

xm x

x

Page 15: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

21( )

xm x

x

Page 16: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

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

asymptotes? What kind of symmetry does it have?

Page 17: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

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

asymptotes? What kind of symmetry does it have?

Page 18: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

3

2

8

1

xy

x

Page 19: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

3

2

8

1

xy

x

Page 20: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Give an equation for the graph

Page 21: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

Give an equation for the graph

Page 22: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

1

6y

x

Page 23: Graphing Rational Equations (Yeay for Graphing) TS: Demonstrating Understanding of Concepts.

x-int

y-int

Holes

Vert Asym

Horiz Asym

Slant Asym

1

6y

x