Math Analysis Honors – Worksheet 16
End Behavior of a Polynomial Function
End Behavior and Zeroes of Polynomials.
Describe the end behavior of the graph of the polynomial function. Use a graphing calculator to verify your result.
1
f ( x ) = 2x 4 − 3x + 1
2
g ( x) = 5 −
3
1 3
x + 5x
3
3
1
5
3
f ( x) = x7 − x5 + x3 + x2
4
2
4
2
6
f ( x) = 1 − x
4
5
7
x − 3x 2
2
f ( x) =
Sketch the graph of a polynomial function that satisfies the given conditions
6
Third-degree polynomial with two real zeros and a negative leading coefficient.
7
Fourth-degree polynomial with two real zeros and a positive leading coefficient.
Find all the real zeros of the polynomial function using a graphing calculator.
8
f ( x) = x2 + x − 2
9
10
11
f ( x ) = x 4 − x 3 − 20x 2
f ( x ) = 2x 4 − 2x 2 − 40
f ( x ) = x 3 − 4x 2 − 25x + 100