1. Concepts 1,2,3,4,5

2.  Linear Function A function that can be written in the form f(x)=mx+b. m represents the slope and b represents the y-intercept.  Constant Function A function that can be written in the form f(x)=b.

3.  Examples f(x) = x f(x) = 2x – 3 f(x) = 3

4.  Should be able to recognize graphs of linear and constant functions.  Other families you will need to recognize:

5.  Worksheet  Go over graphs

6.  f(x) = x 2 is a special type of quadratic.  A quadratic function can be written in the form f(x) = ax 2 +bx + c where a, b, and c are real numbers and a≠0.  What are the a, b, and c values of f(x) = x 2 ?  Graphs of quadratics - PARABOLAS Vertex, axis of symmetry

7.  Examples

10. END DAY 1 of 4.3

11.  x-intercepts: You know the output is 0.  y – intercepts: You know the input is 0.  Remember to write your answer as a point.  Example: find the x and y intercept of f(x) = -5x +1 and f(x) = - ⅔(x) + 2

12.  Using the graph.

13.  Another example:

14.  Graph of Electricity Bill versus Temperature