Class Graphing Activity Graphing Polynomial Functio Class Graphing Activity Graphing Polynomial...

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Transcript of Class Graphing Activity Graphing Polynomial Functio Class Graphing Activity Graphing Polynomial...

  • 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) = x 4 ! 2x

    2 +1

    #3.

    f (x) = !3x 5 + 2x

    2 ! 7x +1

    #4.

    f (x) = x 3 ! 5x

    #5.

    f (x) = !2x 4 + 4x

    2 ! 2

    #6.

    f (x) = x 5 ! 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) = x 4 ! 2x

    2 +1

    4 1 x! "# , y!#

    x!# , y!#

    d

    #3.

    f (x) = !3x 5 + 2x

    2 ! 7x +1

    5 -3 x! "# , y!#

    x!# , y! "#

    c

    #4.

    f (x) = x 3 ! 5x

    3 1 x! "# , y! "#

    x!# , y!#

    e

    #5.

    f (x) = !2x 4 + 4x

    2 ! 2

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

    x!# , y! "#

    a

    #6.

    f (x) = x 5 ! 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!#