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Section 2.4 library of functions; piecewise defined function

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Wong Hsiung
Wong Hsiung

Section 2.4 library of functions; piecewise defined function

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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.4 Library of Functions; Piecewise-defined Functions
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The Square Root Function
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. ( ) ( )3 3 (a) f x x x f x− = − = − = − This means the function is odd and symmetric with respect to the origin. ( ) 3 (b) 0 0 0f = = x and y intercepts are both 0.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The Cube Root Function
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. ( ) ( )(a) f x x x f x− = − = = This means the function is even and symmetric with respect to the y-axis. ( )(b) 0 0 0f = = x and y intercepts are both 0.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The Absolute Value Function
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. W ISE FUNCTIONS
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. ( ) ( )(a) 0 0 1 1f = − + = ( )1 2f = ( ) 2 2 (2) 4f = = (b) The domain of is [ 1, ).f − ∞ (d) The range of is (0, ).f ∞

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Section 2.4 library of functions; piecewise defined function

  • 1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.4 Library of Functions; Piecewise-defined Functions
  • 2. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 3. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The Square Root Function
  • 4. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. ( ) ( )3 3 (a) f x x x f x− = − = − = − This means the function is odd and symmetric with respect to the origin. ( ) 3 (b) 0 0 0f = = x and y intercepts are both 0.
  • 5. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The Cube Root Function
  • 6. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. ( ) ( )(a) f x x x f x− = − = = This means the function is even and symmetric with respect to the y-axis. ( )(b) 0 0 0f = = x and y intercepts are both 0.
  • 7. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The Absolute Value Function
  • 8. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 9. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 10. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 11. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 12. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 13. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 14. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 15. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
  • 16. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. W ISE FUNCTIONS
  • 17. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. ( ) ( )(a) 0 0 1 1f = − + = ( )1 2f = ( ) 2 2 (2) 4f = = (b) The domain of is [ 1, ).f − ∞ (d) The range of is (0, ).f ∞