Finding the Domain of Algebraic Functions 1.3 2006/01/20 15:32:07 US/Central 2006/05/02 22:39:01.599 GMT-5 Pradnya Vinay Bhawalkar pradnyab89@gmail.com Kim Dodge Johnston kim.johnston@fortbend.k12.tx.us Pradnya Vinay Bhawalkar pradnyab89@gmail.com Domain Rational Function Square root x Finding the domain of various algebraic functions When finding domain consider the following:In rational functions, the denominator cannot equal 0 When even-degreed roots are in the numerator, the expression under the radical must be greater than or equal to 0 When even-degreed roots are in the denominator, the expression under the radical must be greater than 0 y 12 x 12 since 12 x 0 y x 2 9 x 20 since there are no even-degreed roots and it is not a rational function y x 2 6 x 5 -5 -1 since x 2 6 x 5 0 y x 2 x 4 -4 since x 4 0 y 7 x x 0 0 7 since 7 x 0 and x 0 y x 1 x 2 4 x 0 4 since x 2 4 x 0 y x 2 1 x 2 4 -2 -2 -1 1 2 2 since x 2 1 0 and x 2 4 0 y 3 x 1 x 5 0 25 25 since x 5 0 and x 0 1 x 1 -1 since x 1 0