Standard 44: Domains of Rational Expressions BY: ABBIE, ABBY, HARLEY, COLE.

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Presentation transcript:

Standard 44: Domains of Rational Expressions BY: ABBIE, ABBY, HARLEY, COLE

Undefined Rational Expressions  A rational expression is undefined when the denominator is equal to zero  The numerator can equal zero

Example #1  Step 1 : To find which numbers make the fraction undefined, create an equation where the denominator is not equal to zero.  Step 2 : Solve the equation found in step 1. In this case, subtract 4 from each side.  Step 3 : Write your answer using interval notation. In this case, since x ≠ –4 we get:

Example #2  Step 1 : To find which numbers make the fraction undefined, create an equation where the denominator is not equal to zero.  Step 2 : Solve the equation found in step 1. In this case, we need to factor the problem.  Step 3 : Write your answer using interval notation. In this case, since x ≠ –2 and x ≠ 7 we get