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44: Graphing Rational Functions Practice Date Period

Answers to 4 4: Graphing Rational Functions Practice (ID: 1) 1) x y ?8 ?6 ?4 ?2 2 4 6 8 ?8 ?6 ?4 ?2 2 4 6 8 Vertical Asym : x = 3 Holes: None Horz Asym : y = 0 X-intercepts: None Domain: All reals except 3 2) x y ?8 ?6 ?4 ?2 2 4 6 8 ?8 ?6 ?4 ?2 2 4 6 8 Vertical Asym : x = 2 Holes: x = ?3 Horz Asym : y = ? 1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Lesson X-3

NAME DATE PERIOD

Lesson 5-3

PDF Pass

Chapter 5 19 Glencoe Algebra 2

Skills Practice

Polynomial Functions

5-3 State the degree and leading coefficient of each polynomial in one varia ble. If it is not a polynomial in one variable, explain why.

1. a + 8 2. (2x - 1)(4x

2 + 3)

3. -5x

5 + 3x 3 - 8 4. 18 - 3y + 5y 2 - y 5 + 7y 6 5. u 3 + 4u2 t 2 + t 4

6. 2r - r

2 1 r 2

Find p(-1) and p(2) for each function.

7. p(x) = 4 - 3x 8. p(x) = 3x + x

2

9. p(x) = 2x

2 - 4x + 1 10. p(x) = -2x 3 + 5x + 3

11. p(x) = x

4 + 8x 2 - 10 12. p(x) = 1 3 x 2 2 3 x + 2

If p(x) = 4x2

- 3 and r(x) = 1 + 3x, find each value.

13. p(a) 14. r(2a)

15. 3r(a) 16. -4p(a)

17. p(a

2 ) 18. r(x + 2)

For each graph,

a. describe the end behavior, b. determine whether it represents an odd-degree or an even-degree function , and c. state the number of real zeroes.

19. xO

f(x) 2 2 442
4 42

20. xO

f(x) 2 2 442
4

42 21. xO

f(x) 2 2 442
4 42
1; 1 5; -5

No, this polynomial

contains two variables, u and t.No, this is not a polynomial because 1 r 2 cannot be written in the form r n where n is a nonnegative integer.3; 8 6; 7 7; -2 7; 1

1; 38- 2; 10

0; -3 3; 2 4 a 2 - 3

3 + 9a

4 a 4 - 31 + 6a 16a 2 + 12

7 + 3x

f(x) → +∞ as x → +∞, f(x) → -∞ as x → -∞; odd; 1f(x) → -∞ as x → +∞, f(x) → -∞ as x → -∞; even; 4f(x) → -∞ as x → +∞, f(x) → +∞ as x → -∞;

odd; 3001_020_ALG2_A_CRM_C05_CR_660789.indd 19001_020_ALG2_A_CRM_C05_CR_660789.indd 1912/20/10 9:13 PM12/20/10 9:13 PM

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