1. Silent Do Now (5 minutes) *Before you begin, take out your homework!
Construct a function to model the relationship.
X Y
-4 3
-2 7

2. Agenda Review Do Now/Homework Lesson on Characteristics of Functions
Exit Ticket

3. Group Practice with Functions

4. Characteristics of Functions

5. Intercepts (aka “zeros”)
x-intercept – the point at which the line intersects the x-axis at (x, 0)
y-intercept – the point at which the line intersects the y-axis at (0, y)

6. Example 1: Finding the Zeros

7. Example 2: Find the y-intercept

8. Increasing/Decreasing Behavior
Move left to right
If your finger is moving UP then the function is increasing
If your finger is moving DOWN then the function is decreasing
If your finder isn’t moving up or down, than your function is CONSTANT

9. Example 1: Are the functions increasing, decreasing or neither?

10. Rate of Change
Rate of Change is the average amount of change in her y-values.
Rate of Change is essentially the SLOPE.

11. Example: Rate of Change with Points
Find the rate of change, given the following points:
(2,3) and (1,4)

12. Example: Rate of Change with functions
Find the average rate of change for f(x) = ½x + 4 from [0,3]

13. Guided Practice

14. Independent Classwork
If you finish early – laptops!

15. Exit Ticket Find the rate of change given the function
f(x) = x2 – 2x + 4 on the interval [0,4]
2. Given the table, write the function, graph the function, determine if it is increasing or decreasing, find the y and x intercepts and find the rate of change on the interval [-8, 8]