8.1 Review Worksheet, Part 2
8.1.4 Rational Functions Using the graph of f x x ( ) 1 =
as a guide, describe the transformation and graph each function.
1 +
1 5 = −
x 2
1. g x
2. g x
3.
= g x ( )
( )
( )
=
x
x
3
Identify the asymptotes, domain, and range of each function. 4. f x x ( ) 1 6 = + 5. f x x ( ) 4 5 = +
3 −
6. f x
( )
1
=
−
x
4
Identify the zeros and vertical asymptotes of each function. Then graph. 7. f x x x x ( ) ( 2)( 5) ( 2) = + − − 8. f x x x x ( ) (2 )(4 ) ( 1) = − + − 9. h x x x ( ) 4 3 2 = − +
Identify the zeros and asymptotes of each function. Then graph. 10. f x x x x ( ) 2 1 2 = − − − 11. f x x x ( ) 3 4 2 = − −
x x x 2 2 + −
2
12. f x
( )
=
1
Identify holes in the graph of each function. Then graph. 13. f x x x ( ) 4 = 14. f x x x x ( ) 1 2 = − + −
2
x
x 14 49 7
x − + −
15. f x
( )
=
201
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