Algebra 2 Companion Book, Volume 2

8.2.2 Radical Functions - Worksheet

Example 1: Graph each function, and identify its domain and range. 1. f x x ( ) 6 = + 2. f x x ( ) 1 = −

3. f x

x ( ) 2 3 = −

4. f x

5. f x

6. f x

x 3 = −

x ( ) 3 3 =

x 3 = +

( )

2

( )

2

Example 2: Using the graph of

= f x x ( ) as a guide, describe the transformation and graph each function.

7. g x

8. h x

9. j x

x ( ) 3 =

x 5 = −

x 7 = −

( )

( )

Example 3: Using the graph of

= f x x ( ) as a guide, describe the transformation and graph each function.

1 3

x 1 2 1 = −

10. g x

11. h x

12. j x

x ( 4) +

( )

( )

x ( 3) = − −

( )

=

13.

14. h x

15. j x

= − − g x x ( ) 2 4

x ( ) 3 3 3 = + +

x 2( 2) = − +

( )

Example 4: Use the description to write the square-root function g . 16. The parent function f x x ( ) =

is stretched vertically by a factor of 4 and then translated 5 units

left and 2 units down.

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