1. Graphing Square Root and Cube Root Functions Section 7.5

2. WHAT YOU WILL LEARN: 1.How to graph square root and cube root functions. 2.How to use square root and cube root functions to find real-life quantities.

3. Some Basic “ Root ” Graphs

4. Graphs of Radical Functions On the your calculator, graph: Now graph:

5. Movement of Basic Graphs Those were your basic square root and cube root graphs. Let ’ s see how we can move them around. Try each of the following on your calculator:

6. Movement on the X and Y Axes What did you notice?

7. Now the Cube Root Function Below the cube root graph, graph the following:

8. Summary To graph or follow these steps: 1. Sketch the basic graph 2. Shift the graph h units horizontally and k units vertically.

9. Example 1 Graph

10. Example 2 Graph

11. Example 3 Graph

12. Finding Domain and Range Find the domain and range of the following: A. B.

13. A “ Real ” Example At an amusement park a ride called the rotor is a cylindrical room that spins around. The riders stand against the circular wall. When the rotor reaches the necessary speed, the floor drops out and the centrifugal force keeps the riders pinned to the wall. The model that gives the speed s (in meters per second) necessary to keep a person pinned to the wall is: Where r is the radius of the rotor. Use a graphing calculator to estimate the radius of a rotor that spins at a speed of 8 meters per second.

14. Homework page 434, 16, 18, 19-21 all, 22, 25, 32, 35