1. UNIT 3 POLYNOMIALS 5-1 Graphing Polynomials

2. 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.

3. How To Classify Polynomials DegreeName Using DegreePolynomial example Number of terms Name using # of terms 5 X + 4 3x 2 4x 3 – 2x 2 + x 2x 4 + 5x 2 -x 5 + 4x 2 + 2x +1 0 1 2 3 4 5 Constant Linear Quadratic Cubic Quartic Quintic 1 1 2 2 3 4 Monomial Binomial Trinomial Polynomial of 4 terms

4. Graphing Polynomials  To graph a polynomial  Type into y=  Find all turning points (2 nd trace max/min)  Find points on either side of turning points  GRAPH Graph: label turning points, and determine the end behavior > > Relative Max Relative Min

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