1 Lesson 30 Section 6.1 Rational Expressions and Functions A Rational Expressionis a polynomial divided by a non-zero polynomial.The following are examples of rational expressions. 852,13,59,2,43222-+-+-+yyyrrrxxwA Rational Functionis a function where f(x) is represented by a rational expression.1) Evaluate the following rational function for the given values.

3)(2Remember: No fraction (rational expression can have a zero denominator. When a rational expression or rational function has a single variable, the set of numbers that could be replaced for that variable is called the domain. No number can be included in the domain that makes a zero denominator when replaced for x(or the variable). When these numbers are determined, it is said these are the domain restrictionsFor each rational expression or rational function, list all domain restrictions. 24( )32( )(3)(5)2( )(4)(4)xAr xxxxBf xxxxCg xxxxx+=≠=≠+-=≠+-

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2 Procedure for