chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November...

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chp 2 notes.notebook 1 November 07, 2013 Chapter 2: Radical Functions Section 2.1: Radical Functions and Transformations Example 1: pg 63 in text Domain: Range:

Transcript of chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November...

Page 1: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

chp 2 notes.notebook

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Chapter 2:  Radical Functions

Section 2.1: Radical Functions and Transformations

Example 1: pg 63 in text

Domain: 

Range:

Page 2: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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b) 

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c)

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Summary pg 65

Page 5: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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pg 72 #1,2,3,4

Page 6: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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Example 2: pg 65Sketch the graph of the function using transformations. State the domain and range.

Mapping Rule:  

Original  New 

(0,0)(1,1)(4, 2)(9,3)

(1, 0)(0, 3)(­3, 6)(­8, 9)

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worksheet example 1­5 and text pg 73 #5

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Section 2.2: Square Root of a Function

Example 1: pg 80

Linear function vs. Square Root 

a) Given f(x) = 3 ­ 2x, graph the functions y = f(x) and 

a)  x y = 3 ­ 2x

­2­1011.5

invariant points occur at (1,1) and (1.5, 0)

Page 9: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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Note: The domain of                            consists only those values in the domain of f(x) 

  for which f(x) ≥ 0

The range of  consists of the square roots of the values in the 

range of y = f(x) for which  is defined.

Page 10: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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Example 2: What are the domain and range for each function?

function

x­intercepts

y ­ intercept

maximum value

minimum value

­2 and 2

2

2

none

­2, 2

2

2

0

Locate any intercepts and the maximum value or minimum value to determine the domain and range of each function.

original 

Page 11: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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Page 12: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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Page 13: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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Example 2B: Determine the domain and range of the following functions.

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Page 15: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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Example 3:

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Page 20: chp 2 notes.notebook - Ms. McNeil's Math Classes · 2018. 9. 9. · chp 2 notes.notebook 6 November 07, 2013 Example 2: pg 65 Sketch the graph of the function using transformations.

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8,11,13,17,

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Section 2.3:  Solving Radical Equations Graphically

Example 2: Pg 92 Solve the equations graphically and algebraically

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Example 2B: 

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