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 ! 2 x 2 + 1 #3. f ( x ) = !3x 5 + 2 x 2 ! 7 x + 1 #4. f ( x ) = x 3 ! 5 x #5. f ( x ) = !2 x 4 + 4 x 2 ! 2 #6. f ( x ) = x 5 ! 2 x 2 + 4
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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!#
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