END BEHAVIOR OF THE POLYNOMIAL FUNCTION WORKSHEET
Identify the leading coefficient, degree and end behavior.
Problem 1 :
f(x) = 5x2 + 7x - 3
Problem 2 :
f(x) = -2x2 - 3x + 4
Problem 3 :
f(x) = x3 - 9x2 + 2x + 6
Problem 4 :
f(x) = -7x3 + 3x2 + 12x - 1
Problem 5 :
f(x) = -2x7 + 5x4 - 3x
Problem 6 :
f(x) = 8x3 + 4x2 + 7x4 - 9x
Problem 7 :
Identify the end behavior. Justify your answer.
f(x) = 4x5 - 3x4 + 2x3
Problem 8 :
Identify the end behavior. Justify your answer.
f(x) = x4 + x3 - x2
Answer Key
1)
Degree : 2
Leading coefficient : 5
End behavior :
When x -> ∞ then y --> ∞
When x -> -∞ then y --> ∞
2)
Degree : 2.
Leading coefficient : -2
End behavior :
When x -> ∞ then y --> -∞
When x -> -∞ then y --> -∞
3)
Degree : 3.
Leading coefficient : 1
End behavior :
When x -> ∞ then y --> ∞
When x -> -∞ then y --> -∞
4)
Degree : 3
Leading coefficient : -7
End behavior :
When x -> ∞ then y --> -∞
When x -> -∞ then y --> ∞
5)
Degree : 7
Leading coefficient : -2
End behavior :
When x -> ∞ then y --> -∞
When x -> -∞ then y --> ∞
6)
Degree : 4
Leading coefficient : 7
End behavior :
When x -> ∞ then y --> ∞
When x -> -∞ then y --> ∞
7)
Degree : 5.
Leading coefficient : 4
End behavior :
When x -> ∞ then y --> ∞
When x -> -∞ then y --> -∞
8)
Degree : 4.
Leading coefficient : 1
End behavior :
When x -> ∞ then y --> ∞
When x -> -∞ then y --> ∞
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