9-2 Graphing Polynomials.notebook€¦ · 92 Graphing Polynomials.notebook March 15, 2019 Mar...

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92 Graphing Polynomials.notebook March 15, 2019 Mar 157:43 AM Find the zeros. Mar 157:57 AM Aug 1311:08 AM 92 Graphing Polynomial Functions Objectives: 9‐2a: I can find the multiplicity and end behavior of a polynomial function. 9‐2b: I can graph a polynomial function by hand using end behavior, multiplicity, and zeros. Feb 147:04 AM Finding Zeros These are points where the graph touches the xaxis.

Transcript of 9-2 Graphing Polynomials.notebook€¦ · 92 Graphing Polynomials.notebook March 15, 2019 Mar...

Page 1: 9-2 Graphing Polynomials.notebook€¦ · 92 Graphing Polynomials.notebook March 15, 2019 Mar 157:43 AM Find the zeros. Mar 157:57 AM Aug 1311:08 AM 92 Graphing Polynomial Functions

9­2 Graphing Polynomials.notebook March 15, 2019

Mar 15­7:43 AM

Find the zeros.

Mar 15­7:57 AM

Aug 13­11:08 AM

9­2 Graphing Polynomial Functions

Objectives: 9‐2a: I can find the multiplicity and end behavior of a polynomial function.

9‐2b: I can graph a polynomial function by hand using end behavior, multiplicity, and zeros.

Feb 14­7:04 AM

Finding ZerosThese are points where the graph touches the x­axis.

Page 2: 9-2 Graphing Polynomials.notebook€¦ · 92 Graphing Polynomials.notebook March 15, 2019 Mar 157:43 AM Find the zeros. Mar 157:57 AM Aug 1311:08 AM 92 Graphing Polynomial Functions

9­2 Graphing Polynomials.notebook March 15, 2019

Sep 16­7:49 AM

End BehaviorUsing a graphing calculator find the end behavior of the following functions.  Where do the ends go? 

Sep 16­8:07 AM

End Behavior

Does it change if I have a negative in front? How?

Function Domain Range End Behavior

Mar 11­10:39 AM Feb 5­2:56 PM

Name the degree (even or odd?) & the leading coefficient (positive or negative?

Page 3: 9-2 Graphing Polynomials.notebook€¦ · 92 Graphing Polynomials.notebook March 15, 2019 Mar 157:43 AM Find the zeros. Mar 157:57 AM Aug 1311:08 AM 92 Graphing Polynomial Functions

9­2 Graphing Polynomials.notebook March 15, 2019

Sep 16­9:11 PM

The power of the factor determines the nature of the intersection at the point x = a 

Straight intersection:(x ­ a)1 The power of the zero is 1.

Tangent intersection : (like a bounce)(x ­ a)even The power of the zero is even.

Inflection  intersection:  (like a wiggle through)(x ­ a)odd The power of the zero is odd and >1.

Multiplicity

Sep 16­9:14 PM

Ex. 8 Find the zeros, the multiplicity, end behavior and graph the following:

  

Mar 11­10:51 AM Mar 11­10:51 AM

Page 4: 9-2 Graphing Polynomials.notebook€¦ · 92 Graphing Polynomials.notebook March 15, 2019 Mar 157:43 AM Find the zeros. Mar 157:57 AM Aug 1311:08 AM 92 Graphing Polynomial Functions

9­2 Graphing Polynomials.notebook March 15, 2019

Sep 17­8:19 AM Jan 16­12:07 PM

Aug 11­10:28 AM

Write the equation for the following graphs

Jan 16­12:15 PM

Write the equation for the following graphs

Page 5: 9-2 Graphing Polynomials.notebook€¦ · 92 Graphing Polynomials.notebook March 15, 2019 Mar 157:43 AM Find the zeros. Mar 157:57 AM Aug 1311:08 AM 92 Graphing Polynomial Functions

9­2 Graphing Polynomials.notebook March 15, 2019

Feb 5­3:03 PM