12.2.1 Radical Functions

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


  • Notes


  • p72 #2-6 10-14 16 *19 *20
FileDescriptionFile size
Download this file (12.2.1.notes.radicals.pdf)12.2.1.notes.radicals.pdfGraphing square root functions by applying transformations365 kB

12.2.2 Square Root of a Function

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:


  • 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
FileDescriptionFile size
Download this file (12.2.2.root.of.function.pdf)12.2.2.root.of.function.pdfGraphing the square root of a function using invariant points1286 kB

12.2.3 Solving Radical Equations Graphically

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:



  • 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
FileDescriptionFile size
Download this file (12.2.3.notes.rational.equations.pdf)12.2.3.notes.rational.equations.pdfSolving radical equations using graphing tools1537 kB

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