Algebra 2
End Behavior Practice Worksheet
Name _____________________________
Date ________________ Period ______
Decide whether the function is a polynomial function.
 If so, state the type of function (constant, quadratic, cubic or quartic), the degree of the polynomial
and the number of total solutions.
 If not, circle the reason the function is not a polynomial
1.
f(x) = 6x3 + 2x – 1
2.
f(x) = -3x2 + 4x – 1
3.
g(x) = 3x2 – 4x + 2
4.
h(x) = 5x4 + 3x – 2
5.
h(x) = 3x-2 – 5x3 + 2x4 – 1
6.
g(x) = 4
DO NOT USE A CALCULATOR! Use what you know about end behaviors of polynomial functions to sketch a
possible graph of the functions below, you may use Clouds to fill in the middle of your graph since we are only
concerned with the ends  For each write the END BEHAVIOR IN CORRECT NOTATION:
7.
f(x) = 2x5 – 3x3 + 4x – 5
8.
End Behavior:
9.
h(x) = -4x6 – 5x2 + 2x – 1
End Behavior:
g(x) = 7x2 – 3x + 5
End Behavior:
10.
h(x) = -4x3 + 5x – 2
End Behavior:
11.
f(x) = 4x8 – 9x7 + 5x2 – 4
12.
End Behavior:
13.
f(x) = -5x2 – 9x + 20
End Behavior:
g(x) = -3x5 + 4x4 – 5x2 + 1
14.
End Behavior:
h(x) = 2x + 1
End Behavior:
Use what you know about end behaviors of polynomial functions to match the polynomial with its graph. DO
NOT USE A CALCULATOR.
15.
f(x) = 2x4 + 5x - 1
16.
h(x) = -3x4 + 5x - 7
17.
g(x) = 4x5 – 4x2 + 1
18.
f(x) = -2x3 + 3x2 – 1
a)
b)
c)
d)
FACTOR COMPLETELY!
19. 4x2 – 16
20. 9x2 – 64
21. 100 – x2
22. 49y2 – 121
23. x5 – 4x3
24. 81x4 - 16