## 12.2.1 Radical Functions

Radical functions can be transformed the same way as quadratic and absolute value functions.

Resources

- Notes

Assignment

- p72 #2-6 10-14 16 *19 *20

Radical functions can be transformed the same way as quadratic and absolute value functions.

Resources

- Notes

Assignment

- p72 #2-6 10-14 16 *19 *20

File | Description | File size |
---|---|---|

12.2.1.notes.radicals.pdf | Graphing square root functions by applying transformations | 365 kB |

In Chapter 1, we saw that graphs of functions can be translated, stretched or reflected, and the shape is generally preserved. However, when a function is square rooted, its graph looks quite a bit different:

Resources

- Notes: Square root of a function

Assignment (done over 2 days)

- p86 #1, 2, 4, 5, 8, 13, C1 C2
- p86 #3, 6, 7, 9, 10, 11, 16, C3 *17 *19

File | Description | File size |
---|---|---|

12.2.2.root.of.function.pdf | Graphing the square root of a function using invariant points | 1286 kB |

Just like with other equations you have seen, we can determine the roots of a radical equation both graphically and algebraically. The algebraic solution often involves the check to see if any of the roots are extraneous. You can use your graphing calculator or one of many online or downloadable graphing applications tol help find the roots of an equation:

Resources

- Notes: 2.3 Solving radical equations graphically
- Desmos Online Graphing calculator utility

Assignment:

- p96 #1-7, 9, 10, 13, 16, *14 *17

Things you should know after today:

- How to solve a radical equation algebraically and check for extraneous roots
- Solving radical equations using graphing technology
- choosing appropriate functions
- choosing appropriate window settings
- determining the roots from the graph

File | Description | File size |
---|---|---|

12.2.3.notes.rational.equations.pdf | Solving radical equations using graphing tools | 1537 kB |

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