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BY MAHRA Graphs of Polynomials. What types of polynomial graphs are there? First-degree polynomial. Second-degree, or quadratic, polynomial. Higher degree.

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Presentation on theme: "BY MAHRA Graphs of Polynomials. What types of polynomial graphs are there? First-degree polynomial. Second-degree, or quadratic, polynomial. Higher degree."— Presentation transcript:

1 BY MAHRA Graphs of Polynomials

2 What types of polynomial graphs are there? First-degree polynomial. Second-degree, or quadratic, polynomial. Higher degree polynomials.

3 How to draw a first-degree polynomial?

4 How to draw a second-degree polynomial? It is basically a parabola. It can open either upward (positive) or downward (negative). It always has a vertex (minimum or maximum). Always has 1 y-intercepts and 0,1 or 2 x-intercepts. For example:

5 How to draw a higher-degree polynomial?

6 In Odd Polynomials

7 In Even Polynomials

8 What are some special properties for polynomial functions? 1. Every graph of a polynomial is continuous, meaning that there should be no holes, gaps or jumps. 2. The graph also should not have a sharp corner. Example: Correct Not a polynomial

9 Zero-31 Multiplicity213

10 Zero23 Multiplicity213 TouchesCrosses

11 6. Local extrema, which means either a local minimum or a local maximum. 7. Points of inflection.

12 Bibliography http://www.faculty.umassd.edu/adam.hausknecht/temath/TEMATH2/Examples/Assets/PolarT aylorPolynomials/OverlayOfRose3.gif http://upload.wikimedia.org/wikipedia/commons/thumb/8/80/Linear_functions2.PNG/300px- Linear_functions2.PNG http://www.mathamazement.com/images/Pre-Calculus/02_Polynomial-and-Rational- Functions/04_Polynomial-Functions/ My Pre-Calculus Book. Some pictures are from Google.

13 Thank you for listening. THEENDTHEEND


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