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.

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

Polynomial Function

Could you identify one? What is the difference?

Most Common Functions

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

Example

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

Example

Quadratics Standard Vertex Factored

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

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

Example

Word Problems

Example Scatter Plot and get the quadratic that best fits

Homework Pg ,23,27,39 In class Monday 56,61