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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