Class Graphing Activity

Graphing Polynomial Functions

Directions: Complete the chart below and use the information find the matching graph

from the following page.

Polynomial

Function

Degree Leading

Coefficient

End

Behavior

Matching

Graph

#1.

f (x) =5

6(x +1)

2(x !1)(x ! 4)

#2.

f (x) = x4! 2x

2+1

#3.

f (x) = !3x5+ 2x

2! 7x +1

#4.

f (x) = x3! 5x

#5.

f (x) = !2x4+ 4x

2! 2

#6.

f (x) = x5! 2x

2+ 4

Class Graphing Activity

Graphing Polynomial Functions

Graph a

6

4

2

-2

- 4

- 6

-10 - 5 5 10

Graph b

10

5

-5

-10

-15

-20

-25

-30

-20 -10 10 20

Even or Odd Degree?

Positive or Negative

Leading Coefficient?

End Behavior: x! "# , y!

x!# , y!

Even or Odd Degree?

Positive or Negative

Leading Coefficient?

End Behavior: x! "# , y!

x!# , y!

Class Graphing Activity

Graphing Polynomial Functions

Graph c

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Graph d

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y!

x!# , y!

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y!

x!# , y!

Class Graphing Activity

Graphing Polynomial Functions

Graph e

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Graph f

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y!

x!# , y!

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y!

x!# , y!

Class Graphing Activity

Graphing Polynomial Functions

Directions: Complete the chart below and use the information find the matching graph

from the following page.

Polynomial

Function

Degree Leading

Coefficient

End

Behavior

Matching

Graph

#1.

f (x) =5

6(x +1)

2(x !1)(x ! 4)

4 5/6 x! "# , y!#

x!# , y!#

b

#2.

f (x) = x4! 2x

2+1

4 1 x! "# , y!#

x!# , y!#

d

#3.

f (x) = !3x5+ 2x

2! 7x +1

5 -3 x! "# , y!#

x!# , y! "#

c

#4.

f (x) = x3! 5x

3 1 x! "# , y! "#

x!# , y!#

e

#5.

f (x) = !2x4+ 4x

2! 2

4 -2 x! "# , y! "#

x!# , y! "#

a

#6.

f (x) = x5! 2x

2+ 4

5 1 x! "# , y! "#

x!# , y!#

f

Class Graphing Activity

Graphing Polynomial Functions

Graph a

6

4

2

-2

- 4

- 6

-10 - 5 5 10

Graph b

10

5

-5

-10

-15

-20

-25

-30

-20 -10 10 20

Even or Odd Degree?

Positive or Negative

Leading Coefficient?

End Behavior: x! "# , y! "#

x!# , y! "#

Even or Odd Degree?

Positive or Negative

Leading Coefficient?

End Behavior: x! "# , y!#

x!# , y!#

Class Graphing Activity

Graphing Polynomial Functions

Graph c

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Graph d

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y!#

x!# , y! "#

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y!#

x!# , y!#

Class Graphing Activity

Graphing Polynomial Functions

Graph e

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Graph f

10

8

6

4

2

-2

- 4

- 6

- 8

-10

-10 - 5 5 10

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y! "#

x!# , y!#

Even or Odd Degree?

Positive or Negative Leading

Coefficient?

End Behavior: x! "# , y! "#

x!# , y!#