Polynomials Functions Of Higher Degree: Far Right And Far Left (End) Behavior Worksheet Page 4
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4HW #1: Complete the chart on your own. Use your colored half-sheet to check your answers. There will be a
non-calculator part of the quiz where you have to complete this table, so make sure you do this ON YOUR
OWN and only use your colored half-sheet to CHECK and CORRECT your work!
Degree:
EVEN
Degree:
EVEN
Degree:
ODD
Degree:
ODD
Lead. Coeff: POSITIVE
Lead. Coeff: NEGATIVE
Lead. Coeff: POSITIVE
Lead. Coeff: NEGATIVE
End Behavior:
End Behavior:
End Behavior:
End Behavior:
���� �� → ∞, �� ( �� ) →
���� �� → ∞, �� ( �� ) →
���� �� → ∞, �� ( �� ) →
���� �� → ∞, �� ( �� ) →
���� �� → − ∞, �� ( �� ) →
���� �� → − ∞, �� ( �� ) →
���� �� → − ∞, �� ( �� ) →
���� �� → − ∞, �� ( �� ) →
HW #2: Complete #1-14 of this packet
Solutions to homework:
1.
Degree: 4;
Sign of Leading Coeff.: Positive;
End Behavior: Up to the far left, Up to the far right;
���� �� → − ∞, �� ( �� ) → ∞
���� �� → ∞, �� ( �� ) → ∞
2.
Degree: 3;
Sign of Leading Coeff.: Negative;
End Behavior: Up to the far left, Down to the far right
���� �� → − ∞, �� ( �� ) → ∞
���� �� → ∞, �� ( �� ) → − ∞
3.
Degree: 5;
Sign of Leading Coeff.: Positive;
End Behavior: Down to the far left, Up to the far right
���� �� → − ∞, �� ( �� ) → − ∞
���� �� → ∞, �� ( �� ) → ∞
4.
Degree: 4;
Sign of Leading Coeff.: Negative;
End Behavior: Down to the far left, Down to the far right
���� �� → − ∞, �� ( �� ) → − ∞
���� �� → ∞, �� ( �� ) → − ∞
5.
Degree: 2;
Sign of Leading Coeff.: Negative;
End Behavior: Down to the far left, Down to the far right
���� �� → − ∞, �� ( �� ) → − ∞
���� �� → ∞, �� ( �� ) → − ∞
6.
Degree: 4;
Sign of Leading Coeff.: Positive;
End Behavior: Up to the far left, Up to the far right
���� �� → − ∞, �� ( �� ) → ∞
���� �� → ∞, �� ( �� ) → ∞
7.
Degree: 3;
Sign of Leading Coeff.: Positive;
End Behavior: Down to the far left, Up to the far right
���� �� → − ∞, �� ( �� ) → − ∞
���� �� → ∞, �� ( �� ) → ∞
8.
Degree: 4;
Sign of Leading Coeff.: Negative;
End Behavior: Down to the far left, Down to the far right
���� �� → − ∞, �� ( �� ) → − ∞
���� �� → ∞, �� ( �� ) → − ∞
9.
Degree: 3;
Sign of Leading Coeff.: Negative;
End Behavior: Up to the far left, Down to the far right
���� �� → − ∞, �� ( �� ) → ∞
���� �� → ∞, �� ( �� ) → − ∞
10.
Degree: 2;
Sign of Leading Coeff.: Positive;
End Behavior: Up to the far left, Up to the far right
���� �� → − ∞, �� ( �� ) → ∞
���� �� → ∞, �� ( �� ) → ∞
11.
Degree: 7;
Sign of Leading Coeff.: Negative;
End Behavior: Up to the far left, Down to the far right
���� �� → − ∞, �� ( �� ) → ∞
���� �� → ∞, �� ( �� ) → − ∞
12.
Degree: 4;
Sign of Leading Coeff.: Positive;
End Behavior: Up to the far left, Up to the far right
���� �� → − ∞, �� ( �� ) → ∞
���� �� → ∞, �� ( �� ) → ∞
13. �� < 0
14. �� < 0
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