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7.7 Radical Functions

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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! A radical function has a variable in the radicand The Basic Graph We can transform this just like we do other graphs Ex 1) Sketch left 2, up 3 YOU MUST CHECK YOUR SOLUTIONS!

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

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

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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) *Hint: We can do other roots, not just square roots! c) ( ) 3 Check! (graph on TV) x = 65 –0.22

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

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= (x + 6) (x + 2) 1. x2 +8x x2 +16x + 48 = (x + 12) (x + 4)

= (x + 6) (x + 2) 1. x2 +8x x2 +16x + 48 = (x + 12) (x + 4)

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