This document contains copyright information and sections on properties of rational functions. It defines four rational functions, R(x), H(x), F(x), and G(x), which contain fractions with quadratic and linear polynomials in the numerator and denominator. It also lists the x-intercepts of two of the functions.

1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Section 4.2
Properties of Rational
Functions

2. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

3. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

4. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

5. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

6. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

7. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

8. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

9. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

10. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

11. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

12. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

13. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
( )
x
x
xR
+
=
3
5 2
( )
( )( )22
3
−+
−
=
xx
x
xH
( )
45
1
2
++
−
=
xx
x
xF
( )
2
2
3 2
4
x x
G x
x
+ +
=
−
3x = −
2 and 2x x= = −
4 and 1x x= − = −
2x =

14. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

15. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

16. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

17. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

18. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

19. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

20. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

21. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.