UNIT 3 POLYNOMIALS

5-1 Graphing Polynomials

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.

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

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

Practice

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