UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials. Key Terms for Classifying Polynomials Define:...

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UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials

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Page 1: UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials. Key Terms for Classifying Polynomials Define: Polynomial – is a monomial or a sum/difference of monomials.

UNIT 3 POLYNOMIALS

5-1 Graphing Polynomials

Page 2: UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials. Key Terms for Classifying Polynomials Define: Polynomial – is a monomial or a sum/difference of monomials.

Key Terms for Classifying Polynomials Define: Polynomial – is a monomial or a

sum/difference of monomials. Define: Degree – is the greatest exponent

among all terms. Define: Turning Points (A.K.A. relative

max/min) – places where the graph changes direction

Define: End Behavior – directions (up or down) of the graph to as it goes towards negative infinity and as it goes towards positive infinity.

Page 3: UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials. Key Terms for Classifying Polynomials Define: Polynomial – is a monomial or a sum/difference of monomials.

How To Classify Polynomials

Degree Name Using Degree Polynomial example Number of terms

Name using # of terms

5X + 43x2

4x3 – 2x2 + x 2x4 + 5x2

-x5 + 4x2 + 2x +1

0

12

3

4

5

ConstantLinear

QuadraticCubic

QuarticQuintic

1

1

2

2

3

4

Monomial

Monomial

Binomial

Binomial

Trinomial

Polynomial of 4 terms

Page 4: UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials. Key Terms for Classifying Polynomials Define: Polynomial – is a monomial or a sum/difference of monomials.

Graphing Polynomials To graph a

polynomial Type into y= Find all

turning points (2nd trace max/min)

Find points on either side of turning points

GRAPH

53)( 23 xxxf

Graph: label turning points, and determine the end behavior

>

>

)5,0(

)1,2(

Relative Max

Relative Min

Page 5: UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials. Key Terms for Classifying Polynomials Define: Polynomial – is a monomial or a sum/difference of monomials.

Practice

Pg. 293 #35-38 graph, label turning points, determine end behavior, and domain and range.


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