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
0
