1. 6.3 – Square Root Functions and Inequalities

3. Initial Point: (, k) and k are the horizontal and vertical shifts from the origin a value If a is negative the graph opens downward Also determines direction of inequality for range (with k) If > 1 then graph is stretched vertically If 0 < < 1 then the graph is compressed vertically Domain: x ≥

4. Example 1: Identify the domain and range of

5. Example 2: Identify the domain and range of

6. Example 3: Graph the function. State the domain and range.

7. Example 4: Graph the function. State the domain and range.

8. 6.3 – Cube Root Functions and Inequalities

10. Middle/Turning Point: (, k) and k are the horizontal and vertical shifts from the origin a value If a is negative the end behaviors are opposites If > 1 then graph is stretched vertically If 0 < < 1 then the graph is compressed vertically Domain and Range are both all real numbers

11. Example 5: Graph the function. State the domain and range.

12. Example 6:

13. Graphing Inequalities -Graph the problem like previous examples -Determine if the line should be dashed or solid -Shade either above or below the curve