# END BEHAVIOR OF THE POLYNOMIAL FUNCTION WORKSHEET

Identify the leading coefficient, degree and end behavior.

Problem 1 :

f(x) = 5x2 + 7x - 3

Solution

Problem 2 :

f(x) = -2x2 - 3x + 4

Solution

Problem 3 :

f(x) = x3 -  9x2 + 2x + 6

Solution

Problem 4 :

f(x) = -7x + 3x2 + 12x - 1

Solution

Problem 5 :

f(x) = -2x7 + 5x4 - 3x

Solution

Problem 6 :

f(x) = 8x3 + 4x2 + 7x4 - 9x

Solution

Problem 7 :

f(x) = 4x5 - 3x+ 2x3

Solution

Problem 8 :

f(x) = x4 + x- x2

Solution

1)

Degree : 2

End behavior :

When x -> ∞ then y --> ∞

When x -> -∞ then y --> ∞

2)

Degree : 2.

End behavior :

When x -> ∞ then y --> -∞

When x -> -∞ then y --> -∞

3)

Degree : 3.

End behavior :

When x -> ∞ then y --> ∞

When x -> -∞ then y --> -∞

4)

Degree : 3

End behavior :

When x -> ∞ then y --> -∞

When x -> -∞ then y --> ∞

5)

Degree : 7

End behavior :

When x -> ∞ then y --> -∞

When x -> -∞ then y --> ∞

6)

Degree :  4

End behavior :

When x -> ∞ then y --> ∞

When x -> -∞ then y --> ∞

7)

Degree : 5.

End behavior :

When x -> ∞ then y --> ∞

When x -> -∞ then y --> -∞

8)

Degree : 4.

End behavior :

When x -> ∞ then y --> ∞

When x -> -∞ then y --> ∞

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