1. 2.1 Linear and Quadratic Functions and Modeling Objective: Students will be able to identify specific types of functions, describe properties of those functions and apply them to word problems.

2. Polynomial Function Degree of a polynomial Highest exponent Leading Coefficient Polynomial needs to be in order of highest degree variable to lowest and it is the number leading the polynomial

3. Polynomial Function

4. Could you identify one? What is the difference?

5. Most Common Functions

6. Linear Y=mx+b Finding the equations given 2 points (-1,2) and (3,-2) Average Rate of change Another way of saying slope with functions

7. Example

8. Correlation Does the data go in a positive direction negative direction constant

9. Example

10. Quadratics Standard Vertex Factored

11. Quadratics Vertex Easy if vertex form (h,k) What if in standard form Could convert to vertex by completing the square Axis of Symmetry Line that divides the graph in have, reflects one side over the other x=x coordinate or vertex x=h

12. Quadratics Zeros, Solutions x-intercpets Multiple ways to solve Set equal to zero and square root if given the vertex form Set each part equal to zero and solve if in factored form Quadratic formula if in standard form

13. Example

14. Word Problems

15. Example Scatter Plot and get the quadratic that best fits

16. Homework Pg 182 13-18,23,27,39 In class Monday 56,61