Lesson Vocabulary

• rational function
• asymptote

Problem 1 Identifying Excluded Values

What is the excluded value for each function?

A  f ( x ) = 5 x − 2   B  y = − 3 x + 8 x − 2 = 0 ← Set the denominator equal to 0 . → x + 8 = 0 x = 2 ← Solve for  x . → x = − 8 The excluded value is  x = 2. The excluded value is  x = − 8. table with 2 rows and 1 column , row1 column 1 , table with 3 rows and 3 columns , row1 column 1 , cap a f open x close equals . fraction 5 , over x minus 2 end fraction , column 2 , column 3 cap b y equals . fraction negative 3 , over x plus 8 end fraction , row2 column 1 , x minus 2 equals 0 , column 2 leftwards arrow . cap setthedenominatorequalto0 . . rightwards arrow , column 3 x plus 8 equals 0 , row3 column 1 , x equals 2 , column 2 leftwards arrow . cap solvefor . x . rightwards arrow , column 3 x equals negative 8 , end table , row2 column 1 , table with 1 row and 2 columns , row1 column 1 , cap theexcludedvalueis . x equals 2. , column 2 cap theexcludedvalueis . x equals negative 8. , end table , end table

✓ Got It?

1. What is the excluded value for y = 3 x + 7 ? y equals . fraction 3 , over x plus 7 end fraction . question mark