3.3 Piecewise Functions - PreCalculussmacmathprecalculus.weebly.com/uploads/1/9/2/5/... · 3.3...

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3.3 Piecewise Functions Name:______________________ 1 Write your questions and thoughts here! Precalculus Recall: Quadratic Function: ݔሻൌሺ ݔെ 2ሻ 1 Absolute Value Function ݔሻ ൌ െ| ݔ 3| 2 Finding the Value 1. ݔሻൌቐ ݔ2 ݔ 8, ݔ െ3 3 ݔ ݔ, െ2 ൏ ݔ൏5 ݔ|െ 8|, ݔ5 ሺെ1ሻ ൌ ሺ5ሻ ൌ ሺെ2.5ሻ ൌ Graphing a Piecewise Function 2. ݔሻൌ൝ ݔെ 3, ݔ െ2 4, െ2 ൏ ݔ1 2 ݔെ 5, ݔ1 3. ݔሻൌቊ ݔ 1ሻ 7, ݔ൏2 ݔ4

Transcript of 3.3 Piecewise Functions - PreCalculussmacmathprecalculus.weebly.com/uploads/1/9/2/5/... · 3.3...

Page 1: 3.3 Piecewise Functions - PreCalculussmacmathprecalculus.weebly.com/uploads/1/9/2/5/... · 3.3 Piecewise Functions 2 Write your questions and thoughts here! 4. B : T ; L] : T E3 ;

3.3 Piecewise Functions Name:______________________ 1

Write your questions and thoughts here!

Precalculus

Recall: Quadratic Function: 

2 1Absolute Value Function 

| 3| 2

Finding the Value 

1.  2 8, 33 , 2 5| 8|, 5

 

1   5  

 2.5  

Graphing a Piecewise Function 

2.  3, 24, 2 1

2 5, 1 

 

3.  1 7, 2

, 4 

 

Page 2: 3.3 Piecewise Functions - PreCalculussmacmathprecalculus.weebly.com/uploads/1/9/2/5/... · 3.3 Piecewise Functions 2 Write your questions and thoughts here! 4. B : T ; L] : T E3 ;

3.3 Piecewise Functions 2

Write your questions and thoughts here!

4.  3 5, 2

1, 2 1| 4| 4, 2

 

  

 5.  Write out the function of the graph to the right.    

    

Tell if the functions are continuous.  Show any work that leads to your conclusion. 6.  

2 1, 16 12 11, 1 

     

7. 

  8, 3

2 3√3 , 3   

     

Skillz Review: Solve or evaluate. 1.  √ 24 

      

2.   2 100  

3.   4 7 57  4.  2 9 11 25  

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