1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the...

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1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function () f x x Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes End Behavior 2. The Squaring Function 2 () f x x Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes End Behavior 8 6 4 2 -2 - 4 - 6 - 8 - 5 5 8 6 4 2 -2 - 4 - 6 - 8 - 5 5

Transcript of 1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the...

Page 1: 1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function f ()xx Domain

1.3ParentFunctions 

Copy the parent functions, and then analyze them. 

1. 

The Identity Function  

  

( )f x x  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 End Behavior   

      2. 

The Squaring Function  

  

2( )f x x  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity   

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 End Behavior   

  

8

6

4

2

-2

-4

-6

-8

-5 5

8

6

4

2

-2

-4

-6

-8

-5 5

Page 2: 1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function f ()xx Domain

1.3ParentFunctions 3. 

The Cubing Function  

  

3( )f x x  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity   

 

Boundedness  

 

Symmetry  

 

Extrema  

 Asymptotes   

 

End Behavior  

      4. 

The Reciprocal Function  

  

1( )f x

x  

Domain  

 

Range   

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity   

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 End Behavior   

  

   

8

6

4

2

-2

-4

-6

-8

-5 5

8

6

4

2

-2

-4

-6

-8

-5 5

Page 3: 1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function f ()xx Domain

1.3ParentFunctions 5. 

The Square Root Function  

  

( )f x x  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 

End Behavior  

      6. 

The Exponential Function  

  

( ) xf x e  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 

End Behavior  

  

   

8

6

4

2

-2

-4

-6

-8

-5 5

8

6

4

2

-2

-4

-6

-8

-5 5

Page 4: 1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function f ()xx Domain

1.3ParentFunctions 7. 

The Natural Logarithm Function  

  

( ) lnf x x  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 

End Behavior  

      8. 

The Sine Function  

  

( ) sinf x x  

Domain   

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 Symmetry   

 

Extrema  

 

Asymptotes  

 

End Behavior  

  

   

8

6

4

2

-2

-4

-6

-8

-5 5

8

6

4

2

-2

-4

-6

-8

-5 5

Page 5: 1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function f ()xx Domain

1.3ParentFunctions 9. 

The Cosine Function  

  

( ) cosf x x  

Domain   

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 Symmetry   

 

Extrema  

 

Asymptotes  

 

End Behavior  

    10. 

The Absolute Value Function  

  

( )f x x  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 

End Behavior  

  

   

8

6

4

2

-2

-4

-6

-8

-5 5

8

6

4

2

-2

-4

-6

-8

-5 5

Page 6: 1.3 Parent Functions - North Hunterdon-Voorhees … · 2015-07-16 · 1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function f ()xx Domain

1.3ParentFunctions 11. 

The Greatest Integer Function  

  

( )f x x  

Domain  

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 

End Behavior  

      12. 

The Logistic Function  

  

1( )

1 xf x

e

 

Domain   

 

Range  

 

Inc/Dec/Con  

 

Positive/Negative/Zero 

 

Continuity  

 

Boundedness  

 

Symmetry  

 

Extrema  

 

Asymptotes  

 

End Behavior  

  

8

6

4

2

-2

-4

-6

-8

-5 5

8

6

4

2

-2

-4

-6

-8

-5 5


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1.6 A LIBRARY OF PARENT FUNCTIONS - Academics …academics.utep.edu/Portals/1788/CALCULUS MATERIAL/1... · 1.6 A LIBRARY OF PARENT FUNCTIONS ... functions. • Identify and ... •

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Parent Functions - misscracroftmath.weebly.com · Parent Functions Domain Range Continuous Increasing Decreasing Constant Left End Right End Symmetry xintercepts yintercepts VA HA

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