Graphing Square Root and Cube Root Functions 6.3 Graphing Square Root and Cube Root Functions

Square roots

Cube roots Domain: Range: All real numbers All real numbers

Graphs of Radical Functions Tranformations: The graph shifts h units horizontally and k units vertically. The graph will stretch or compress and/or reflects depending on the a value.

Example 1 b) Describe how to obtain the graph of a) Describe how to obtain the graph of b) Describe how to obtain the graph of

Example 2: Graph the following functions, and then state the domain and range. Only use a calculator to check. a) b) c) y x y x y x

Example 2: Graph the following functions, and then state the domain and range. Only use a calculator to check. d) e) f) y x y x y x

Inequalities Graph using same method as other inequalities. - Solid or dashed line??? - Shade above or below??? For square root functions: from endpoint, shade straight up/down.

Example 3 Graph. Then find domain. a) b) y x y x