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## Polynomial Functions

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**Polynomial Functions**PPT 2.3.1**Polynomial Functions**The largest exponent within the polynomial determines the degree of the polynomial.**Explore Polynomials**Linear Function Quadratic Function Cubic Function Quartic Function**Leading Coefficient**The leading coefficient is the coefficient of the first term in a polynomial when the terms are written in descending order by degrees. For example, the quartic function f(x) = -2x4 + x3 – 5x2 – 10 has a leading coefficient of -2.**Graph A**Graph B Cubic Polynomials Look at the two graphs and discuss the questions given below. 1. How can you check to see if both graphs are functions? • 2. How many x-intercepts do graphs A & B have? 3. What is the end behaviour for each graph? 4. Which graph do you think has a positive leading coeffient? Why? 5. Which graph do you think has a negative leading coefficient? Why?**Cubic Polynomials**The following chart shows the properties of the graphs on the left.**Cubic Polynomials**The following chart shows the properties of the graphs on the left.**Cubic Polynomials**The following chart shows the properties of the graphs on the left.**Graph A**Graph B Quartic Polynomials Look at the two graphs and discuss the questions given below. 1. How can you check to see if both graphs are functions? • 2. How many x-intercepts do graphs A & B have? 3. What is the end behaviour for each graph? 4. Which graph do you think has a positive leading coeffient? Why? 5. Which graph do you think has a negative leading coefficient? Why?**Quartic Polynomials**The following chart shows the properties of the graphs on the left.**Quartic Polynomials**The following chart shows the properties of the graphs on the left.**Quartic Polynomials**The following chart shows the properties of the graphs on the left.**Quartic Polynomials**The following chart shows the properties of the graphs on the left.