Polynomial Functions Worksheet With Answer Key
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17End Behavior
Advanced Algebra Honors
Wkst 6-1: Polynomial Functions
Find a cubic model for each function. Then use your model to estimate the value of y when
x = 7.
1.
2.
Write each polynomial in standard form. Then classify it by degree and by number of
terms.
4
3. 4x + x + 2
4. −3 + 3x − 3x
5. 6x
− 1
4
2
2
2
3
6. 1 − 2s + 5s
7. 5m
− 3m
8. x
+ 3x − 4x
2
2
3
2
9. −1 + 2x
10. 5m
− 3m
11. 5x − 7x
3
3
3
12. 2 + 3x
− 2
13. 6 − 2x
− 4 + x
14. 6x − 7x
3
2
15. a
(a
+ a + 1)
16. x(x + 5) − 5(x + 5)
17. p(p − 5) + 6
2
2
18. (3c
)
19. −(3 − b)
20. 6(2x − 1)
4
5
2
x
4
x
5
3
z
2
+
−
−
2
21.
22.
23.
+ s
3
4
3
24. The lengths of the sides of a triangle are x + 4 units, x units, and x + 1 units. Express the
perimeter of the triangle as a polynomial in standard form.
25. Find a cubic function to model the data below. (Hint: Use the number of years past 1940 for
x.) Then use the function to estimate the average monthly Social Security Benefit for a
retired worker in 2010.
Average Monthly Social Security Benefits, 1940–2003
1940
1950
1960
1970
1980
1990
2000
2003
Year
Amount
22.71
29.03
81.73
123.82
321.10
550.50
844.60
922.10
(in dollars)
Source:
26. Find a cubic function to model the data below. (Hint: Use x to represent the gestation
period.) Then use the function to estimate the longevity of an animal with a gestation period
of 151 days.
Gestation and Longevity of Certain Animals
Rat
Squirrel
Pig
Cow
Elephant
Animal
21
44
115
280
624
Gestation (in days)
Longevity (in years)
3
9
10
12
40
Source:
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