6.2 Practice C

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LESSON
NAME _________________________________________________________ DATE ___________
6.2
Practice C
For use with pages 329–336
Use direct substitution to evaluate the polynomial function for the
given value of x.
1. f x 3x3 4x2 x 7, x 2
2. f x 2 x2 x 3, x 4
3. f x 2 x3 4 x2 3x 1, x 2
4. f x 2x 4 3x2 5, x 5. f x x 4 2x2 5, x 5
6. f x 2x6 x 4 5x 1, x 2
3
1
1
1
2
Use synthetic substitution to evaluate the polynomial function for
the given value of x.
7. f x 2x5 3x 4 x3 x2 6x 3, x 1
8. f x 3x 4 2x2 5, x 2
9. f x 3 x3 4x2 2 x 2, x 2
2
1
11. f x 4x3 2x2 x 3, x 2
1
10. f x 5 x2 3x 2, x 3
1
1
12. f x x3 3x 7, x 1
3
Lesson 6.2
Graph the function.
13. f x 4 x3
14. f x 3x2 5
15. f x x3 3x 1
16. f x 2x 4 3x 1
17. f x 2x7 1
18. f x 20. f x 3 x 4 5
21. f x 2x3 7
19. f x x3
2x 1
4
2
3
x2
22. Critical Thinking
Give an example of a polynomial function f such that
f x → as x → and f x → as x → .
23. Critical Thinking
Give an example of a polynomial function f such that
f x → as x → and f x → as x → .
First-time Brides
In Exercises 24 and 25, use the following information.
The median age of a female when she gets married for the first time in the
United States from 1890 to 1996 can be modeled by
A 0.001t2 0.098t 22.763
where A is the age and t is the number of years since 1890.
24. What was the median age of first time brides in 1950?
25. Describe the end behavior of the graph. From the end behavior, would
you expect first time brides in 2000 to be older or younger than the brides
in 1996?
28
Algebra 2
Chapter 6 Resource Book
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