1. Polynomials and End Behavior

2. Polynomial functions are classified by their degree
Polynomial functions are classified by their degree. The graphs of polynomial functions are classified by the degree of the polynomial. Each graph, based on degree has a distinctive shape and characteristics.

3. The degree of a polynomial is given by the term with the greatest degree. The leading coefficient is the coefficient of the first term when in standard form.

4. The end behavior of a graph is a description of the values of the function as approaches positive infinity or negative infinity
As x gets more and more negative, the graph of f(x) decreases, or approaches negative infinity.
As x gets more and more positive, the graph of f(x) increases, or approaches positive infinity.

5. How many turning points does this graph have?
A turning point is where a graph changes from increasing to decreasing or from decreasing to increasing (local maximum or local minimum).
How many turning points does this graph have?

6. The zeros of the graph are the values of x where the graph hits the x-axis.
Where are the zeros of the function?

7. Graph of the equation: 1. What is the degree of this polynomial?
Odd or Even
2. How many turning points does this graph have?
3. Is the leading coefficient positive or negative?
4. As , f(x) approaches .
5. As , f(x) approaches .
6. How many zeros does the graph have?

8. Linear Function -4 -1 1 4

9. Quadratic Function -2 -1 1 2

10. Cubic Function -2 -1 1 2

11. Absolute-Value Function-2 -1 1 2

12. Square-Root Function 1 4 9
Why didn’t I pick negative x-xalues?

13. Transformations
Vertical translation

14. Transformations
Horizontal Translation

15. Transformations
Reflection across x-axis