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7.7 Radical Functions

7.7 Radical Functions. A radical function has a variable in the radicand The Basic Graph. Ex 1) Sketch. left 2, up 3. We can transform this just like we do other graphs.

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7.7 Radical Functions

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  1. 7.7 Radical Functions

  2. A radicalfunction has a variable in the radicand The Basic Graph Ex 1) Sketch left 2, up 3 We can transform this just like we do other graphs To solve an equation involving radicals, we need to “get rid of” the by squaring both sides. But, BEWARE! This often creates extra false solutions.  This is not optional! YOU MUST CHECK YOUR SOLUTIONS!

  3. *Hint: We usually try to have only 1 on a side of the equation. Ex 2) Solve and check each equation. a) Check! ()2()2 No! x = 14

  4. *Hint: We may have to square each side twice! b) Check! ()2()2 ()2()2 No! x = 5

  5. *Hint: We can do other roots, not just square roots! c) Check! ()3()3 x = 65 We can also solve using our graphing calculators – if it tells us to do so. Ex 3) Solve using your graphing calculator *Hint: Probably best to put everything on one side to have equal zero and find x-intercept(s) (graph on TV) –0.22

  6. Homework #707 Pg 374 #1, 5, 6, 10, 11, 15, 20, 22, 24, 28, 31, 32, 35, 37

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