Excluded Values in Rational Expressions

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What is an excluded value in a rational expression?

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A value that makes the denominator equal to 0.

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CCSS.HSA.APR.D.7

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x = 1

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x = 0 and x = 3

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CCSS.HSF-IF.C.7D

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x = -4 and x = 4

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CCSS.HSF-IF.C.7D

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x = 11

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What happens when you substitute an excluded value into a rational expression?

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The expression becomes undefined.

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CCSS.HSA.APR.D.6

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How do you find excluded values in a rational expression?

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Set the denominator equal to 0 and solve for x.

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CCSS.HSF-IF.C.7D

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What is the significance of excluded values in rational expressions?

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They indicate values that cannot be used in the expression.

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CCSS.6.EE.A.2C

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The expression is undefined when x = 5.

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x = -2 and x = 2

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CCSS.HSF-IF.C.7D