Chapter 6 Radical Functions and Rational Exponents

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• Lessons 2-1 and 4-1 Finding the Domain and Range of Functions

  Find the domain and range of each function.

  1. {(1, 2), (2, 3), (3, 4), (4, 5)}
  2. {(1, 2), (2, 2), (3, 2), (4, 2)}
  3. f ( x ) = ( x − 4 ) 2 − 8 f open x close equals . open x minus 4 close squared . minus 8
  4. f ( x ) = 2 x 2 + 3 f open x close equals , 2 x squared , plus 3

• Lesson 4-1 Graphing Quadratic Functions

  Graph each function.

  5. y = 2 x 2 − 4 y equals , 2 x squared , minus 4
  6. y = − 3 ( x 2 + 1 ) y equals negative 3 open , x squared , plus 1 close
  7. y = 1 2 ( x − 3 ) 2 + 1 y equals , 1 half . open , x minus 3 , close squared . plus 1

• Lesson 4-4 Multiplying Binomials

  Multiply.

  8. ( 3 y − 2 ) ( y − 4 ) open 3 y minus 2 close open y minus 4 close
  9. ( 7 a + 10 ) ( 7 a − 10 ) open 7 eh plus 10 close open 7 eh minus 10 close
  10. ( x − 3 ) ( x + 6 ) ( x + 1 ) open x minus 3 close open x plus 6 close open x plus 1 close

• Lessons 4-5 and 5-3 Solving by Factoring

  Solve each equation by factoring.

  11. x 2 − 5 x − 14 = 0 x squared , minus 5 x minus 14 equals 0
  12. 2 x 2 − 11 x + 15 = 0 2 x squared , minus 11 x plus 15 equals 0
  13. 3 x 2 + 10 x − 8 = 0 3 x squared , plus 10 x minus 8 equals 0
  14. 12 x 2 − 12 x + 3 = 0 12 x squared , minus 12 x plus 3 equals 0
  15. 8 x 2 − 98 = 0 8 x squared , minus 98 equals 0
  16. x 4 − 14 x 2 + 49 = 0 x to the fourth , minus , 14 x squared , plus 49 equals 0

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