6.8 Practice Worksheet Graphing Radical Functions HW Name

6.8 Practice Worksheet Graphing Radical Functions HW Name: _________________________________

Describe the transformation of each of the following square root functions from the parent function

.yx

43yx  

18yx  

2 3 5yx   

9yx  

35yx

81yx   

Graph the following square root functions. State the domain and range of each.

12yx  

23yx   

D: D:

R: R:

4 3 2yx  

10.

24yx  

D: D:

R: R:

Describe the transformation of each of the following cube root functions from the parent function

.yx

Graph each

function.

11.

21yx  

12.

13yx   

13.

34yx  

14.

21yx  

15. What is the domain and range for all cube root functions? _________________________________________

Use your graphing calculator to find the solution to the following.

16. When you look at the ocean, the distance d (in miles) you can see to the horizon can be modeled by

1.22da

where a is your altitude (in feet above sea level). Determine at what altitude you can see 10 miles.

17. To find the radius r of a sphere of volume V, use the equation





. A balloon used for advertising special

events has a volume of 225 ft

. What is the radius of the balloon?

18. Write an equation for the function whose graph is shown.